Question

find the value of root 12 multiplied by root 8​

Answer 1

Answer:

The value of $\sqrt8\ \text{x}\ \sqrt{12}$  is      $4\sqrt6$

Step-by-step explanation:

Given :

we are given two real numbers

$\sqrt 8$   and   $\sqrt {12}$

To Find :

The product of these real numbers

$\sqrt8\ \text{x}\ \sqrt{12}$

Solution :

Since the given real numbers are

$\sqrt8$   and  $\sqrt{12}$

and we have to find the value of $\sqrt8\ \text{x}\ \sqrt{12}$

First we have to factorize the terms that are under square root

8 = 2 x 2 x 2

12 = 2 x 2 x 3

So substitute these values in $\sqrt8\ \text{x}\ \sqrt{12}$ we get

$\sqrt8\ \text{x}\ \sqrt{12}=\sqrt{2\ \text{x}\ 2\ \text{x}\ 2}\ \text{x}\ \sqrt{2\ \text{x}\ 2\ \text{x}\ 3}$

               $=2\sqrt2\ \text{x}\ 2\sqrt{3}$

               $=4 \sqrt{3}\ \text{x}\ \sqrt2$

               $=4\sqrt6$

Hence we have calculated that the value of  $\sqrt8\ \text{x}\ \sqrt{12}$  is $4\sqrt6$

#SPJ3