Question

How do you evaluate -2√8 + 2√2 - 3√18?

Answer 1

$\huge\mathfrak\red{ANSWER \: : }$$<b><i>$

$= - 2 \sqrt{8} + 2 \sqrt{2} - 3 \sqrt{18}$

We can write

√8 = √4*2 = 2√2

√18 = √9*2 = 3√2

$= - 2 \sqrt{8} + 2 \sqrt{2} - 3 \sqrt{18} \\ \\ = - 2 \sqrt{4 \times 2} + 2 \sqrt{2} - 3 \sqrt{9 \times 2} \\ \\ = - 2 \times 2 \sqrt{2} + 2 \sqrt{2} - 3 \times 3 \sqrt{2} \\ \\ = - 4 \sqrt{2} + 2 \sqrt{2} - 9 \sqrt{2} \\ \\ = - 13 \sqrt{2} + 2 \sqrt{2} \\ \\ =( - 11 \sqrt{2} )$

$\large\bold\red{Answer~is~(-11\sqrt{2})~.}$

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