Question

Root 15 multiplied by root 30

Answer 1

Answer:

THIS MAY ANSWER YOUR QUESTION ✌

Step-by-step explanation:

Root 450

Answer 2

Answer:

Required value of the given $15 \sqrt{2}$

Step by step explanation:

Given Root 15 multiplied by root 30

$= \sqrt{15} \times \sqrt{30}$

Now we are breaking 15 and 30.

$15 = 3 \times 5$

and $30 = 2 \times 3 \times 5$

Now,

$\sqrt{3 \times 5} \times \sqrt{2 \times 3 \times 5}$

$\sqrt{3 \times 5 \times 2 \times 3 \times 5} = 3 \times 5 \sqrt{2} = 15 \sqrt{2}$

This is a problem of power of indices.

Here applied formulas are$\sqrt{x} \times \sqrt{x} = x$

$\sqrt{x \times x \times y} = x \sqrt{y}$

Some others formula of power of indices,

$\sqrt{x} + \sqrt{x} = 2 \sqrt{x}$

$\sqrt{x} \times \sqrt{y} = \sqrt{xy}$

$\sqrt{x} + \sqrt{y} = \sqrt{x} + \sqrt{y}$

$\sqrt{x} = {x}^{ \frac{1}{2} }$