Question

Help plz
1. ?√8=2
2. 4√?=3

Answer 1

`\large\boxed{1.\ 3}\\\boxed{2.\ 81}`

Explanation:

`\sqrt[3]{a}=b\iff b^3=a\\\\√(a)=b\iff b^2=a\ for\ a,b\geq0\\==========================\\\\1.\ \sqrt[n]{8}=2\iff2^n=8\Rightarrow2^n=2^3\Rightarrow \boxed{n=3}\\\\2.\ \sqrt[4]{n}=3\iff 3^4=n\Rightarrow \boxed{n=81}`

Answer 2

1.

x√8 = 2

x = 2/√8 = 1/√2

so

1/√2 × √8 = 2

2.

4√x = 3

√x = 3/4

x = (3/4)^2 = 9/16

so

4√(9/16) = 3