Question

please solve this question​

Answer 1

Answer:

I really hope it helps

Answer 2

Solution!!

In order to solve such questions, you have to factorise and solve the roots first. When the roots will be solved, calculate the simplified value. The same is to be done to solve this question. Let's do it!

$\sf \sqrt[4]{81}-8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}$

Calculate the roots.

$\sf \to \sqrt[4]{3\times 3\times 3\times 3}-8\sqrt[3]{6\times 6\times 6}+15\sqrt[5]{2\times 2\times 2\times 2\times 2} + \sqrt{15\times 15}$

$\sf \to 3-8\times 6+15\times 2+15$

Multiply the numbers.

$\sf \to 3-48+30+15$

Calculate the sum.

$\sf \to 48-48$

Subtract the numbers.

$\sf \to 0$

Hence, $\sf \sqrt[4]{81}-8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}=0$