How do you multiply $(15sqrt( 8x^16)) /( 5 sqrt( 2x^4))$ ?

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Answer 1 · 2015-05-02T09:50:03

We start by taking all squares from under the root.

Since $8=2*2*2=2*2^2$ and $x^16=(x^8)^2$
And $x^4=(x^2)^2$

We can take out these squares (unsquared of course), and in both cases only a single $2$ will be left under the root:

$=(15*2*x^4sqrt2)/(5*x^2sqrt2)=(30*x^2*x^2*sqrt2)/(5*x^2*sqrt2)$

Now we can cancel out the $x^2$ and the $sqrt2$ :

$=(30*x^2)/5=6x^2$

How do you multiply (15sqrt( 8x^16)) /( 5 sqrt( 2x^4))(15sqrt( 8x^16)) /( 5 sqrt( 2x^4))?