Question

Simplify

show work

1. √50 + √8


2. 30/√7
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Answer 1

1. 7 sqrt(2)

2. (30 sqrt(7))/7

Explanation:

Simplify the following:

sqrt(50) + sqrt(8)

sqrt(50) = sqrt(2×5^2) = 5 sqrt(2):

5 sqrt(2) + sqrt(8)

sqrt(8) = sqrt(2^3) = 2 sqrt(2):

5 sqrt(2) + 2 sqrt(2)

5 sqrt(2) + 2 sqrt(2) = 7 sqrt(2):

Answer: 7 sqrt(2)

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Simplify the following:

30/sqrt(7)

Rationalize the denominator. 30/sqrt(7) = 30/sqrt(7)×(sqrt(7))/(sqrt(7)) = (30 sqrt(7))/7:

Answer: (30 sqrt(7))/7