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Mathematics 20 Online
OpenStudy (anonymous):

help 2x^2=sqrt 96

OpenStudy (anonymous):

plz help i cant handel two sqrt

OpenStudy (anonymous):

polepak help !!!!!!

OpenStudy (anonymous):

\[2x^2 = \sqrt96\]

OpenStudy (anonymous):

Looks better now

OpenStudy (anonymous):

solve it

OpenStudy (anonymous):

\[2x^2 = 2 \sqrt{24}\]\[x^2 = \sqrt{24}\]

OpenStudy (anonymous):

how

OpenStudy (anonymous):

?????

OpenStudy (anonymous):

\[\textbf{Are you sure this is the question?}\]

OpenStudy (anonymous):

\[\implies 2x^2 = \sqrt{3\cdot 2^5}\]\[\implies 2x^2 = 2\sqrt{3\cdot 2^3}\]\[\implies x^2 = \sqrt{24}\]\[\implies x = \pm \sqrt[4]{24}\]

OpenStudy (anonymous):

Recall that a sqrt is the same as raising to the 1/2 power.

OpenStudy (anonymous):

oh thnx

OpenStudy (anonymous):

3.2^5=96

OpenStudy (anonymous):

how did u figure that out

OpenStudy (anonymous):

\[x^2 = \sqrt{24} \]\[\implies x^2 = 24^\frac{1}{2} \]\[\implies x = \pm \left(24^{\frac{1}{2}}\right)^\frac{1}{2}\]\[\implies x = \pm \left(24^\frac{1}{4}\right) = \pm\sqrt[4]{24}\]

OpenStudy (anonymous):

Because 96 = 3*32 and 32 is 2^5

OpenStudy (anonymous):

Being a cs major I know my powers of 2. But even if you don't you do know that 32 is 4*8 and 4 is 2^2 and 8 is 2^3 and 2^2 * 2*3 = 2^(2+3) = 2^5

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