Answer:
[tex]\sqrt{15}^3 = 15 \sqrt{15}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{15}^3[/tex]
Required
Simplify
[tex]\sqrt{15}^3[/tex]
Apply the following law of indices:
[tex]x^3 = x * x * x[/tex]
So, we have:
[tex]\sqrt{15}^3 = \sqrt{15} * \sqrt{15} * \sqrt{15}[/tex]
Combine two terms
[tex]\sqrt{15}^3 = \sqrt{15 * 15} * \sqrt{15}[/tex]
[tex]\sqrt{15}^3 = \sqrt{225} * \sqrt{15}[/tex]
Take positive square root of 225
[tex]\sqrt{15}^3 = 15 * \sqrt{15}[/tex]
[tex]\sqrt{15}^3 = 15 \sqrt{15}[/tex]
Hence:
The solution to [tex]\sqrt{15}^3[/tex] is [tex]15\sqrt{15[/tex]