Question

$\sf \sqrt{12} \times \sqrt{12}$

Answer 1

Answer:

$12$

Step-by-step explanation:

$\sqrt{12} \times\sqrt{12}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0$

$\sqrt{12}\sqrt{12}=12$

$=12$

Answer 2

The value of $\sqrt{12} * \sqrt{12}$ is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

$\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}$

Addition Law of Indices

This law is given as

$a^m+a^n = a^(^m^+^n^)$

let's substitute the values in this question.

$12^\frac{1}{2}*12^\frac{1}{2}$

Let's apply the law and solve the radical

$12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)$

Solve the fractions

$\frac{1}{2}+\frac{1}{2}=1$

substitute the values and solve

$12^\frac{1}{1}=12$

from the calculations above, the value of the radical is 12.

Learn more on laws of indices here;

https://brainly.com/question/10339517