Question

Prove the question in the attachment

Answer as per class 9 , chapter 1 , Number Systems

Expecting accurate answers

Answer 1

HELLO DEAR,


$\sqrt{3 \times \frac{1}{ {5}^{3} } } \div \sqrt[ 3 ]{ \frac{1}{3} } \sqrt{5} \times \sqrt[6]{3 \times {5}^{6} } \\ \\ = > \frac{1}{5} \sqrt{ \frac{3}{5} } \div \frac{ \sqrt{5} }{ \sqrt[ 3 ]{3} } \times 5 \times \sqrt[6]{3} \\ \\ = > \sqrt{ \frac{3}{5} } \times \frac{ \sqrt[3]{3} }{ \sqrt{5} } \times \sqrt[6]{3} \\ \\ = > \frac{ \sqrt{3} }{ \sqrt{5} } \times \frac{1}{ \sqrt{5} } \times {3}^{ \frac{1}{3} } \times {3}^{ \frac{1}{6} } \\ \\ = > \frac{ \sqrt{3} }{ {5} } \times {3}^{ \frac{6 + 3}{18} } \\ \\ = > \frac{ \sqrt{3} }{5} \times \sqrt{3} \\ \\ = > \frac{3}{5}$
I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Hi,

Please see the attached file!


Thanks