Respuesta :

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]

ACCESS MORE
EDU ACCESS