What is the answer to the square root of 50 + square root of 8 - square root of 18?

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Answer 1 · 2015-07-30T17:30:10

$=color(green)(4sqrt2$

Prime factorising each of the numbers in order to simplify the terms:

$sqrt50=sqrt(5*5*2) = 5sqrt2$

$sqrt8=sqrt(2*2*2) = 2sqrt2$

$sqrt18=sqrt(2*3*3) = 3sqrt2$

Now,

$sqrt50+sqrt8-sqrt18=5sqrt2+2sqrt2-3sqrt2$

$=color(green)(4sqrt2$