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2sqrt8+3sqrt72

$2 \sqrt{8}+3 \sqrt{72}$

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Factor polynomials

Full solution

Q.

2 \sqrt{8}+3 \sqrt{72}

Identify perfect squares: Identify perfect squares in the radicands. $\newline$ $\sqrt{8} = \sqrt{4\times2} = \sqrt{4}\times\sqrt{2} = 2\sqrt{2}$ $\newline$ $\sqrt{72} = \sqrt{36\times2} = \sqrt{36}\times\sqrt{2} = 6\sqrt{2}$
Multiply coefficients: Multiply the square roots by their coefficients. $\newline$ $2\sqrt{8} = 2\times2\sqrt{2} = 4\sqrt{2}$ $\newline$ $3\sqrt{72} = 3\times6\sqrt{2} = 18\sqrt{2}$
Add like terms: Add the like terms. $\newline$ $4\sqrt{2} + 18\sqrt{2} = 22\sqrt{2}$

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