selim wrote:

If y>0 , which of the following is equal to \(\sqrt{48y^3}\)?

A) 4y\(\sqrt{3y}\)

B) 3y\(\sqrt{4y}\)

C) 2\(\sqrt{12y}\)

D) 3\(\sqrt{8y}\)

E) 16y\(\sqrt{3y}\)

\(\sqrt{48y^3}\)

=\(\sqrt{48}*\sqrt{y^3}\)

=\(\sqrt{48}*(y^3)^{\frac{1}{2}}\)

=\(\sqrt{48}*y^{\frac{3}{2}}\)

=\(4\sqrt{3}*y^{(1+\frac{1}{2})}\)

=\(4\sqrt{3}*y*y^{\frac{1}{2}}\)

=\(4\sqrt{3}*y*\sqrt{y}\)

=\(4y*\sqrt{3}*\sqrt{y}\)

=\(4y\sqrt{3y}\)

Ans. (A)

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Regards,

PKN

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