Simplify

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1. √50 + √8

2. 30/√7

1. 7 sqrt(2)

2. (30 sqrt(7))/7

Step-by-step 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):

7 sqrt(2)

Simplify the following:

30/sqrt(7)

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

(30 sqrt(7))/7

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3