Question

use a fractional index to write√15​

Answer 1

Given : √15

To Find : a fractional index to write√15

Solution:

nth root of  a   can be written as

$\sqrt[n]{a}$    or  $a^{\frac{1}{n} }$

$a^{\frac{1}{n} }$   a is base   and  1/n is the index

Square root of a can be written as

$\sqrt{a} \quad \text{ or} \quad \sqrt[2]{a} \quad \text{ or} \quad a^{\frac{1}{2} }$

Given is √15   which is equivalent to   $\sqrt[2]{15}$  

Hence this can be written in base index form as :

$15^{\frac{1}{2} }$

$15^{\frac{1}{2} }$  is the correct answer

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Answer 2

Answer:

We know that value of root is x^½.

X is a no.

So fractional index to write√15 will be

15^½.