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Solve the given radical equation and check proposed solution

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Reference no: EM131402342

Assignment

Practice with Radicals

Simplify. Assume all variables are non-negative real numbers.

1) √18x2y
2) √180k7q8
3) 3√128
4) 3√216x4y5
5) 3√-8a8b7

Combine like radical terms

6) -3√18 + 10√8 - 5√128
7) √6a - 3√96a - 6√24a
8) √3x2 + 7√75x2 + 5√75x2
9) -7√6 - 5√54
10) 3 √162 - 3√32 - 10√98

Multiply radical expressions

11) (3x √6x)(5√2x)
12) 6√5(√11 + √5)
13) (√8 + 2)(√8 - 2)
14) (√13 + √10)(√13 - √10)
15) (5√5 + 8)2

Divide radical expressions

16) √(25/36)
17) √(175a2b/c2)
18) √(189x5y6 / 3y4)
19) √(396x9 / 11x)
20) √(5390x7 / 10x5)

Rationalize the denominator.

21) 17/√17
22) 64√11 / 40√5
23) √64 / 7
24) √3 / (√5 + 2)
25) 2 / (√5+ √7)

Solve a radical equation. Check all proposed solutions.

26) √(18y - 9) = y + 4
27) x - √(3x - 2) = 4
28) √2x + 1 = x - 3
29) √(y2 - 5y + 4) = y - 3
30) √(2x + 5) - √(x - 2) = 3
31) √(x + 6) + √(2 - x) = 4
32) √(x + 139) - √(x + 4) = 9
33) √(2x + 3) = 1 + √(x + 1)
34) √(5x + 4) = √(3x - 2) - 2
35) √(4x + 4) = √(2x + 3) - 1

Reference no: EM131402342

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