VCS VPortal $\newline$ bigideasmath.c $\newline$ BIG IDEAS MATH $\newline$ Listen $\newline$ Simplify $-\sqrt{72}$ . $\newline$ The simplified expression is

Full solution

Q. VCS VPortal

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bigideasmath.c

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BIG IDEAS MATH

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Listen

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Simplify

-\sqrt{72}

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The simplified expression is

Identify prime factors: Step $1$ : Identify the prime factors of $72$ . Prime factorization of $72$ is $2 \times 2 \times 2 \times 3 \times 3$ .
Simplify using product property: Step $2$ : Simplify the square root using the product property. $\sqrt{72} = \sqrt{2 \times 2 \times 2 \times 3 \times 3}$ Group the identical factors and simplify. $\sqrt{72} = \sqrt{(2^2) \times 2 \times (3^2)}$
Apply product property: Step $3$ : Apply the product property of square roots. $\newline$ $\sqrt{72} = \sqrt{2^2} \times \sqrt{2} \times \sqrt{3^2}$ $\newline$ $\sqrt{72} = 2 \times \sqrt{2} \times 3$ $\newline$ $\sqrt{72} = 6\sqrt{2}$
Apply negative sign: Step $4$ : Apply the negative sign to the square root. $-\sqrt{72} = -6\sqrt{2}$