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Question

asked Aug 3, 2020 147k views

2 Answers

Arihant · Answer 1 · 2020-08-04T20:36:16+0000

Answer:

$y^{(1)/(4)}$ or
$\sqrt[4]{y}$ , where, y≥0.

Explanation:

The given expression is

$\sqrt[8]{y^2}$

We need to find the simplified form of the given expression.

Convert the radical expression in exponent form.

$(y^2)^{(1)/(8)}$
$[\because \sqrt[n]{x}=x^{(1)/(n)}]$

Using the power property of exponent, we get

$y^{2* (1)/(8)}$
$[\because (a^m)^n=a^(mn)]$

$y^{(2)/(8)}$

$y^{(1)/(4)}$

Convert the exponent form in radical expression.

$\sqrt[4]{y}$

Therefore the simplified form of given expression is
$y^{(1)/(4)}$ or
$\sqrt[4]{y}$ , where, y≥0.

Gioan Le · Answer 2 · 2020-08-08T01:10:51+0000

Answer:

$\sqrt[4]y$

Explanation:

Absolute value is needed, since y can be a negative number, and even roots of real numbers are not real numbers