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2021-09-20

Add and subtract but first simplify radicals

$-5\sqrt{8x}-6\sqrt{18x}$

FieniChoonin

Skilled2021-09-21Added 102 answers

We factor 8 and 18 then simplify the radicals

$8=2\times 2\times 2$

$\sqrt{8x}=\sqrt{2\times 2\times 2\times x}=2\sqrt{2x}$

$18=2\times 3\times 3$

$\sqrt{18x}=\sqrt{2\times 3\times 3\times x}=3\sqrt{2x}$

Then plug them in the expression and simplify.

$-5\sqrt{8x}-6\sqrt{18x}$

$=-5\left(2\sqrt{2x}\right)-6\left(3\sqrt{2x}\right)$

$=-10\sqrt{2x}-18\sqrt{2x}$

$=-28\sqrt{2x}$

Answer:$-28\sqrt{2x}$

Then plug them in the expression and simplify.

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