Question

Which statement is true about the sum square root of 50 + square root of 18?

It is rational and equal to 2.
It is rational and equal to 8.
It is irrational and equal to 2square root of 2.
It is irrational and equal to 8square root of 2.

Answer 1

i got the answer correct on a test it is in fact 8sqrt 2

Explanation:

Answer 2

`\bf √(50)+√(18)\qquad \begin{cases} 50=2\cdot 5\cdot 5\\ \qquad 2\cdot 5^2\\ 18=2\cdot 3\cdot 3\\ \qquad 2\cdot 3^2 \end{cases}\implies √(2\cdot 5^2)+√(2\cdot 3^2) \\\\\\ 5√(2)+3√(2)\implies 8√(2)`