What is $sqrt24xx9sqrt3$ ?

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Answer 1 · 2015-09-22T20:52:14

The answer is $54sqrt2$ .

$sqrt24xx9sqrt3$

Simplify $sqrt24$ .

$sqrt24=sqrt(2xx2xx2xx3)$

$sqrt24=sqrt(2^2xx2xx3)$

$sqrt(x^2)=x:$ $sqrt(2^2)=2$

$sqrt24=2sqrt(2xx3)=2sqrt6$

Rewrite the problem.

$2sqrt6xx9sqrt3$

Simplify.

$2xx9xxsqrt(3xx6)=$

$18sqrt(18)$

Simplify $sqrt(18)$ .

$sqrt18=sqrt(2xx3xx3)=$

$sqrt18=sqrt(2xx3^2)=$

Rewrite the problem.

$sqrt18=3sqrt2$

Simplify.

$18xx3sqrt2=$

$54sqrt2$

Answer 2 · 2015-09-22T20:52:50

It is $sqrt24*9*sqrt3=9*sqrt(3*2^3*3)=9*sqrt(2^2*3^2*2)=54sqrt2$

What is sqrt24xx9sqrt3sqrt24xx9sqrt3?