EXAMPLE 9 Adding and Subtracting Radicals Add or subtract as indicated. Assume that all variables represent positive real numbers. a SVT - 2V7 VT h IV98r'y + SV18ry

Q: 4 - Find the QR factorization of A -4 Ex: 1.23 : Q Ex: 1.23 R =

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Q: Consider nonnegative integer solutions of the equation xi + x2 + x3 + x4 + x5 + æ6 = 30.

A: The non-negative integer equation is x1+x2+x3+x4+x5+x6=30Since ,xi-number varying from 0 to…

Q: S Home- myGadsdenState Bb Activity Stream [] Fit to page LD Page view/A2 Rationalize the…

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Q: Find the value of c if -226 Σ1+0 2 C = No decimal entries allowed.

A: summation (1+c)^-n from 2 to infinity converges only if |1+c|<1(1+c)^-n is a GP series. Use the…

Q: Simplify completely so that there are no perfect fourth powers under a radical. Assume that x is a…

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Q: nen 1/2 is a positive odd integer. ed

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Q: 7) Find the fifth roots for -16-16/3i

A: To find: 5th roots for -16-163i           ……1

Q: Prove: For any positive integer n, x™1 - yl = (x- y) xy' (You may use the laws | of exponent in your…

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Q: 12. Calculate and write the quotient 3 in a + bi -1+21 form.

A: To simplify:3-1+2i Solution: 3-1+2i On multiplying numerator and denominator by (-1-2i) and…

Q: Use radical notation to write the expression. Simplify if possible. Assume that all variables…

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Q: 4) show thud the numben of roots of 225-62²++1=0 in

A: The given equation is 2z5-6z2+z+1=0  and we have to find the root in the interval  1≤z<2.

Q: Determine the set of values of k for which the equation (3-2k)x + (2k – 3)x+1 = 0 has no real roots.

A: For no real solution of quadratic equation, Discriminant (D) < 0

Q: 3. Suppose that a, b and c are positive integers with 2"365c = 36000. What is the value of 3a + 4b…

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Q: a) Without using a calculator rewrite each expression: 3 i. In surd form, using roots 62 ii. In…

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Q: Find mZH. H 3 8 Write your answer as an integer o mZH = %3! Submit

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Q: integeral of 1/x^3+8

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Q: 9) Use the properties of exponents to rewrite the expression in the form kx", where k is a real…

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

Q: 17 V3 Write the number in the form x + iy. 2 2

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Q: Va 占>0 !! に

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Q: 11 h(x)= 9x tep 1 The domain excludes x-values that yield zero in the denominator. x2-9x # Factor.…

A: In the question it is asked to calculate domain of function h(x)=11x2-9x.  Afterwards it is asked to…

Q: nswer on 1. Find all the roots of 2x* + x – 8x2 – 4x = 0 | x = -2, x = -0.5, x= 0, x = 2 Bx= -2, x =…

A: Given query is to find the roots of the expression.

Q: (va)" - a Vab = Va - V5

A: I am solving these in step 2

Q: True or False: arccosh(2x) = In (2 + /4x2 – 1) for æ > Select one: O True O False

A: Solved below

Q: EXAMPLE 5 Using Square Roots of Negative Numbers Evaluate (V12 – V-3)(3 + V-4), and express the…

A: The given expression is, 12--33+-4 On simplifying the terms, we get…

Q: Rationalize the denominator of 4 81 Assume that all variables represent positive real numbers. 1 4x°…

A: Rationalize the denominator

Q: Factor. 85. х — хt 86. х + хh 87. х2 + бху + 9y2 88. х2 - 10ху + 25у2 89. х2 — 2х - 15 90. х2 + 8х +…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4 Rationalize the denominator of 16 Assume that all variables represent positive real numbers. 25x 4…

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Q: 3. How many zeros at the end does the number 2022! have? (n! is a product of all positive integers…

A: Given,Number = 2022!To find: Number of zeros at the end (trailing zeros) of the given number  As per…

Q: 1. Simplify the expresslon below. @3x ®. x12 ©3x12. . . n... O x64

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Simplify completely so that there are no perfect fourth powers under a radical. Assume that x is a…

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Q: SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

A: We prove this by induction.

Q: 10 What is the 6th term of (x − 1)¹⁰-

A: To find 6th term of x-110. Formula for general term of expansion of a+bn is given as -…

Q: Simplify completely so that there are no perfect fourth powers under a radical. Assume that x is a…

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The Binomial Theorem is, (a+b)n=∑k=0nnkan-kbk Where, nk=n!k!(n-k)! The given question is to find the…

Q: Preform the indicated operations on the following radicals.

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Q: 5. (a) Simplify –5 (ry¬1)¯° in a form such that all exponents are positive integers. (b) Solve x²2"…

A: We’ll answer the first three subparts of the question since the exact one wasn’t specified. Please…

Q: express each of the following radicals in its simplest form

A: Given radical 5274, 646

Q: 21) The length of a rectangle is represented by x+3x+ 2, and the width is represented by 7x. a)…

A: From the given data

Q: 22) Create an expression that can be used to find Zg in terms of Zd.

A: There are so many ways to create expression for angle g but final expression will be same for all…

Q: Find the coefficient of x9 in (2-x)19.

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Q: 256 4 Rationalize the denominator of Assume that all variables represent positive real numbers. 25x?…

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Q: Compute |w| using w = - 6 ||w| (Type an exact answer, using radicals as needed.) 3.

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Q: Al. a. Find an integer that leaves a remainder of 2 when divided by either 3 or 5, but that is…

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Q: Simplify completely so that there are no perfect fourth powers under a radical. Assume that x is a…

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Q: Use a direct proof to show that the product of two odd numbers is odd.

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Q: 1. Determine the value of n if one of the roots of 2x2 - 16x + n = 0 is 4-7. |

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Q: How many multiplicity of - 1 are there in the roots of x +3x2 + 3x+1 0? O 1 O 2 3 O 4

A: Given equation  x3+3x2+3x+1=0

Q: True or false, for any integer x, x^2, - x will always result in an even number

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