Question

Q.90
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Answer 1

Answer:- Option (D)

Explanation:

$Given : \sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15} } } }$   ------ (1)


(1)

$\sqrt{15 \sqrt{15 \sqrt{15} } }$

$\sqrt{15 * 15^ \frac{3}{4} }$

$\sqrt{15} \sqrt{15^ \frac{3}{4} }$

$\sqrt{15} * (15^{ \frac{3}{4})^ \frac{1}{2} }$

$\sqrt{15} * 15^ \frac{3}{8}$

$15^{ \frac{1}{2}+ \frac{3}{8} }$

$15^{ \frac{7}{8} } ------- (2)$


Substitute (2) in (1), we get

$\sqrt{15 * 15^{ \frac{7}{8} } }$

$\sqrt{15} * 15^{ \frac{7}{16} }$

$15^{ \frac{15}{16} }$



Hope this helps!

Answer 2

Hi,


Please see the attached file!

Thanks