What is $\sqrt{24} \times 9 \sqrt{3}$ $sqrt24xx9sqrt3$ ?

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What is $\sqrt{24} \times 9 \sqrt{3}$ $sqrt24xx9sqrt3$ ?

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Answer 1 · 2015-09-22T20:52:14

The answer is $54 \sqrt{2}$ $54sqrt2$ .

Explanation:

$\sqrt{24} \times 9 \sqrt{3}$ $sqrt24xx9sqrt3$

Simplify $\sqrt{24}$ $sqrt24$ .

$\sqrt{24} = \sqrt{2 \times 2 \times 2 \times 3}$ $sqrt24=sqrt(2xx2xx2xx3)$

$\sqrt{24} = \sqrt{2^{2} \times 2 \times 3}$ $sqrt24=sqrt(2^2xx2xx3)$

$\sqrt{x^{2}} = x :$ $sqrt(x^2)=x:$ $\sqrt{2^{2}} = 2$ $sqrt(2^2)=2$

$\sqrt{24} = 2 \sqrt{2 \times 3} = 2 \sqrt{6}$ $sqrt24=2sqrt(2xx3)=2sqrt6$

Rewrite the problem.

$2 \sqrt{6} \times 9 \sqrt{3}$ $2sqrt6xx9sqrt3$

Simplify.

$2 \times 9 \times \sqrt{3 \times 6} =$ $2xx9xxsqrt(3xx6)=$

$18 \sqrt{18}$ $18sqrt(18)$

Simplify $\sqrt{18}$ $sqrt(18)$ .

$\sqrt{18} = \sqrt{2 \times 3 \times 3} =$ $sqrt18=sqrt(2xx3xx3)=$

$\sqrt{18} = \sqrt{2 \times 3^{2}} =$ $sqrt18=sqrt(2xx3^2)=$

Rewrite the problem.

$\sqrt{18} = 3 \sqrt{2}$ $sqrt18=3sqrt2$

Simplify.

$18 \times 3 \sqrt{2} =$ $18xx3sqrt2=$

$54 \sqrt{2}$ $54sqrt2$

Answer 2 · 2015-09-22T20:52:50

It is $\sqrt{24} \cdot 9 \cdot \sqrt{3} = 9 \cdot \sqrt{3 \cdot 2^{3} \cdot 3} = 9 \cdot \sqrt{2^{2} \cdot 3^{2} \cdot 2} = 54 \sqrt{2}$ $sqrt24*9*sqrt3=9*sqrt(3*2^3*3)=9*sqrt(2^2*3^2*2)=54sqrt2$

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