EXAMPLE 9 Rationalizing the Denominator 1 Rationalize the denominator: 1 + V2

Q: Rationalize the numerator:[(√x + √h - √x)/h]

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Q: 12. Explain what a rational exponent, such as 5 means. Use this explanation to evaluate 92.

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Q: Rationalize the denominator (dividing section): 45 + 4

A: See the attachment

Q: EXAMPLE 3 Multiplying Rational Expressions x² + 2x 3 3x + 12 Perform the indicated multiplication…

A: Definition used -          Multiplying rational expressions -        We multiply numerator by…

Q: v of a fraction. Negative exponents belong in the top bottom

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Q: Rationalize the radical expression x-1/squareroot of x

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Q: Vx+5 5. Rationalize the denominator: Vx-5 Vx+2- Vx 6. Rationalize the numerator:

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Q: EXAMPLE 9 Adding and Subtracting Radicals Add or subtract as indicated. Assume that all variables…

A: Given, (a). 57t23-27t23+7t23 To solve above expression of radicals. Now, 57t23-27t23+7t23=37t23+7t23…

Q: EXAMPLE 5 Simplifying nth-Roots Simplify. 45 b. d. T e -VI

A: " Since you have posted a question with multiple subparts, we will solve first three subparts for…

Q: EXAMPLE 1 Simplifying Expressions with a Zero or Negative Exponent Simplify. e. Szy

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

Q: Simplify. - 1 7 За - 1 (3a ")2 За (Simplify your answer. Use positive exponents only. Use integ

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Q: CHECK POINT 3 Rationalize each denominator: V3 Vī а. b.

A: Given:   To determine: Rationalize the denominator

Q: WORKSHEET 4: Rationalize the denominator. 2 +1 √2 √6+2

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Q: Describe what it means to rationalize a denominator. Use 1 in your explanation. both and V5 5 + V5

A: For rationalizing a function multiply the numerator and denominator of the expression by…

Q: uestion 2 Perform the indicated operations using the laws of exponents. Express the result using…

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Q: SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS Writing Expression with Rational Exponents as…

A: We have to give example of expressions with rational exponent.

Q: 4) Divide. Express the result in simplest radical form with rationalized denominator. 1 V7+ V3

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Q: rationalizing the denominator.

A: Given:

Q: 2(x+h)+1- V2(x+1)

A: We can use rationalization method here to simplify the given expression:-  where we multiply…

Q: Writey ruwith rational exponents

A: Expression xaybn can be written as xaybn=xayb1n=xanybn

Q: Put the fractional expression into standard form by rationalizig the denominator.

A: some fractional expressions are given , we have to rationalize and express into standard form

Q: fraction* 8/  *radical sign over* (x-5)   finding domain

A: Given that 8x-5

Q: nich expression shows the proc $ 1. 61 x 10 A 1. 61 x 10°

A: In mathematics, a product is the result of multiplication, or an expression that identifies factors…

Q: Use rational exponents to simplify the expression. If rational exponents appear after simplifying,…

A: To use rational exponents to simplify the given expression.

Q: Rationalize the denominator. 5/2 + V6 10/2 - V6 5/2 + V6 10/2-V6 (Simplify your answer. Type an…

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Q: lim 9 x^2-81/x-9 What would the factorization look like in the numerator?

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Q: 1 1 can be simplified using csc x - 1 csc x + 1 as the least common denominator.

A: 1cscx-1-1cscx+1=cscx+1-cscx-1cscx-1cscx+1=2csc2x-1=2cot2x=2tan2x

Q: p+ Vp-Vp² -1' -1 Rationalize the numerator:

A: The given expression is: p+p2-1p-p2-1 To rationalize the denominator, multiply and divide with the…

Q: 3. (a) Using exponential notation, we can write V5 as (b) Using radicals, we can write 512 (c) Is…

A: 3. a The exponential notation of the term 53 is, 53=513 Thus the exponential notation of the term 53…

Q: Observe that the radical is V3 Square the real number eliminated from the denominator. Explain…

A: Consider the real number 23. On squaring this number, we get 232=2232=43 Observe that on squaring,…

Q: Simplify completely. If V625w7x = AB then A = B = NOTE: Exponents are entered using the caret key ^.…

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Q: Explain how to change a rational exponent into the correct radical expression

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Q: Can you help me step by step?

A: Given,

Q: 85–90 ■ Rationalize Denominator Rationalize the denominator.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: EXAMPLE 7 Simplifying a Compound Fraction 1 1 a + h a Simplify: h

A: Take the LCM of the fractions in the numerator and simplify.

Q: 10. If you raise x^5 to the 9th power, the exponent on the x in your answer will be

A: Consider a exponent (xa)b. The properties of exponent says that it can be simplified as, Given…

Q: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.…

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Q: 53-5 Va - 5 (d) lim x25 x- 25 Hint: Multiply the numerator and denominator by the conjugate of the…

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Q: Negative exponents belong in the vof a fraction.

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Q: implify the difference quotient by rationalizing the numerator. Vz - 8 - Vz 8 ead more about Topic…

A: We have to find rationalization

Q: 1) Divide. Express the result in simplest radical form with rationalized denominators. Va + Va – 2…

A: Answer

Q: Rationalize the numerator. Assume all expressions under radicals represent positive numbers. V4 V10

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Q: How to simplify exponents

A: We take same example of exponents. See 2nd step.

Q: (8.3x 10*)x (8x106) Scientific Notation: Standard Form:

A: The given expression is  (8.3×104)×(8×106)

Q: O RADICALS Rationalizing a denominator: Quo V Rationalize the denominator and simplify -4 5x Assume…

A: Find the rationalize the denominator of

Q: 7a 3.

A: Explanation of the solution is given below...

Q: 5-V21 V3- V7

A: Given query is to rationalize the denominator.

Q: Nx+ 10 - 100 Rationalize the numerator of

A: Solution of given question is written in below steps.

Q: V3+ v7 V2 - V5 1. For the expression a) Rationalize the numerator b) Rationalize the denominator

A: Rationalization