. Explain how we rationalize a denominator, then complete the 1 following steps to rationalize V3 1 1 V3 V3

Q: The Special Product Formula for the "product of the sum and difference of terms" is (A B)(A - B) So…

A: To fill the blank in the statement, " The special product formula for the 'product of the sum and…

Q: JUstify whether it is true to say that the given is the nth term of the AP  2n-3

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Q: Simplify the rational expression. 4b2 +126+9 2b+3 Enclose numerators and denominators in…

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Q: Which of the following expressions equates the denominator to 0? do you call an expression in…

A: Any Rational algebraic expression a(x)/b(x) can be written as q(x)+r(x)/b(x), where the degree of…

Q: а — b 2. Rationalize the following expression: c + di.

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Q: expression into an equivalent expression with the given denominator

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Q: 3. Tom showed the following work when he was asked to rationalize the denominator. Explain his…

A: Question number 2,Given,          r=2x Gmt24Lπ23

Q: - 9 Determine the value(s) for which the rational expression is undefined. 48x2 + 124x +66 (Use a…

A: Given expression  x−948x2+124x+66

Q: By rationalizing the denominator, simplify the following: (3√2-4)÷(3√2+4) Select one: O a. 17-10√2 O…

A: The given expression is: 32-4÷32+4

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: 4√ a2b3

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: The given expression is  2x-y35.

Q: 27. (LO14) Divide x³+ x² 4x + 9 by x + 3 to find the quotient and remainder A)x² +4x+ 8; R= 33 C) x²…

A: To divide the given polynomial

Q: Which of the following is the radical expression of 7 2d 10 ?

A:

Q: simplify each rational expression. 18a2/45ab

A: Given: 18a245ab

Q: 3) Simplify the radical. Be sure the rationalize the de- nominator. 2x V 3cª

A: Rationalize denominator

Q: Justify whther it is true to say that the given is the nth term of the AP  3n2+5

A: Check by finding first 4 terms

Q: Find the domain of the following rational expression. 7 + 4x R(x) = x3 - x2 - 6x %3D Select the…

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Q: 15. Simplify the complex fraction. n + 112 + 24 n+ 1

A:

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: Given,           5y

Q: 413 71 + 2 This is a rational expression because the denominator contains a variable. 4 This is a…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Simplify each rational expression, if possible. (If the expression cannot be simplified, enter DOES…

A:

Q: Go step by step to reduce the radical. V96 try You must answer all questions above in order to submi

A: We have to reduce the radical .

Q: 1. Translate the expressions with rational exponents into radical expressions and simplify, if…

A: We have to write the given expressions with rational exponents into radical expressions.

Q: 2. Multiply the following expressions: (x8 + x)x e b. x²(x³ – x2 - 8x) c. (2x - 3)(3x 4) d. (x2- 2x-…

A: topic - multiplication of expressions note : As per bartleby guidelines, we are supposed to answer…

Q: simplify each rational expression. You will need to use factoring by grouping. (xy + ay + bx +…

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Q: 10 Rationalize the denominator of V25

A: To rationalize the denominator10253

Q: 6. Rationalize each denominator: 4 a. V5

A:

Q: Activity 5 Simplify the following expressions in Column A to find out the answer of the given trivia…

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Q: Which of the following is a rational number? O A) V10 O B) V100 OC) V1000 O D) V100000

A: Given: A) 10B) 100C) 1000D) 100000 To select: The rational number from the given.

Q: For non-zero denominators, which of the following is equivalent to 1 2a a a + 1 -2a3 +1 a(a + 1) 1-…

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Q: the chosen letter on separate aheet of paper. Which of the following expressions correctly applies…

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Q: Match each rational number in the first column with an equal rational number in the second column. 9…

A: Here we will solve the first three parts. If you need more help, please share it and mention the…

Q: The algebraic fraction is such that x +11 x2 + 13x + 40 ( +a) (x+b) Enter a: Enter b: Enter A: Enter…

A: The middle term splitting of quadratic equation and simple cross multiplication is used

Q: 5 Select the box in each row to identify the number as rational or Irrational. Rational Irrational…

A: Select the box for rational and irrational

Q: Express the following fraction in simplest form, only using positive exponents. 20a-5w-8…

A: We have to express the following fraction in the simplest form using only positive coefficients -…

Q: Find the LCD of the pair of rational expressions.   34 15a3 , 7 10a

A: Given query is to find the LCD of given expression.

Q: 1. For r ir -ar-20-5 find the quotient and remainder. +a+3

A: Required answer is given below

Q: 4. Perform the indicated operations. Then simplify: x2 – 3x – 28 56 - 8x ot gwen f

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Q: -7 Rationalize the denominator: 6 + V3 A where B The result can be expressed in the form A = B = %3D

A:

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: To write in rational exponent  5ab

Q: For #1-3, rationalize each denominator. If possible, reduce the fraction to simplest radical form.…

A: Multiply and divide the rational number in the denominator.

Q: Rewrite with rational exponents: a. V64 (V2ry)". b.

A: The nth root radical has the equivalent forms xn=x1/n. Another property of radicals that will be…

Q: a) Simplify Fully. Use brackets where necessary and / for division. 3x +9 X+3 x -4 X +2 b) State…

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Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: To write the given expression using positive rational exponents.(3x-y)47 Solution: (3x-y)47 On…

Q: Add: Since the denominators are opposites, either one can serve as the LCD. If we choose x – y, we…

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Q: 3. Find thee quotient and remainder: a. 3x - x2 + x-2 divided by x +2 b. 3x3 - x2 + x - 2 divided by…

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Q: ALL WORK MUST BE SHOWN 8y - 56 v²+9v+ 18 23. Simplify the rational expression 8v+ 48 8v2+ 24v

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Q: Rewrite as equivalent rational expressions with denominator (a +4)(a + 5)(a+7). 7a a2 + 9a + 20 a2…

A: Follow these steps to solve: factorize the numerator multiply denominator and numerator with the…

Q: To rationalize the denominator of the expression √2/ ( 1 - √3 ), multiply both the numerator and the…

A: Given that the expression21-3 To rationalize the denominator.