Question

(√2/√3)⁵×(6/7)² pls solve it​

Answer 1

Answer:

Hey mate! Here's your answer:

Step-by-step explanation:

(√2/√3)⁵ * (6/7)²

(√2)⁵/(√3)⁵ * 36/49

4√2/9√3 * 36/49

4√2/√3 * 4/49

By rationalising 4√2/√3,

4√6/3 * 4/49

16√6/147.

So the simplified version of this expression is 16√6/147.

Answer 2

Answer:

$\frac{16\sqrt{2} }{49\sqrt{3} }$

Step-by-step explanation:

So first you can solve $(\frac{\sqrt{2} }{\sqrt{3} } )^5$. You can expand it to be $\frac{\sqrt{2}*\sqrt{2}*\sqrt{2}*\sqrt{2}*\sqrt{2} }{\sqrt{3}*\sqrt{3}*\sqrt{3}*\sqrt{3}*\sqrt{3}}$which would equal $\frac{4\sqrt{2}}{9\sqrt{3}}$. Then you have to solve $(\frac{6}{7} )^2$ which equals to $\frac{36}{49}$. Now you have $\frac{4\sqrt{2}}{9\sqrt{3}}$*$\frac{36}{49}$. You can cancel out 9 from both equations so you have $\frac{4\sqrt{2}}{\sqrt{3}}*\frac{4}{49}$. Your final answer would be$\frac{16\sqrt{2} }{49\sqrt{3} }$.