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

$= 4 \sqrt{2}$ $=color(green)(4sqrt2$

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

$\sqrt{50} = \sqrt{5 \cdot 5 \cdot 2} = 5 \sqrt{2}$ $sqrt50=sqrt(5*5*2) = 5sqrt2$

$\sqrt{8} = \sqrt{2 \cdot 2 \cdot 2} = 2 \sqrt{2}$ $sqrt8=sqrt(2*2*2) = 2sqrt2$

$\sqrt{18} = \sqrt{2 \cdot 3 \cdot 3} = 3 \sqrt{2}$ $sqrt18=sqrt(2*3*3) = 3sqrt2$

Now,

$\sqrt{50} + \sqrt{8} - \sqrt{18} = 5 \sqrt{2} + 2 \sqrt{2} - 3 \sqrt{2}$ $sqrt50+sqrt8-sqrt18=5sqrt2+2sqrt2-3sqrt2$

$= 4 \sqrt{2}$ $=color(green)(4sqrt2$