Question

What is the solution to the following expression if x=5​

Answer 1

The value of given expression is 16

Solution:

Given expression is:

$\sqrt{x^2} + \sqrt{x} \times \sqrt{x} + 6$

We have to find the value of expression when x = 5

Substitute x = 5

$\sqrt{x^2} + \sqrt{x} \times \sqrt{x} + 6\\\\\sqrt{5^2} + (\sqrt{5} \times \sqrt{5}) + 6$

We know that,

$\sqrt{a} \times \sqrt{a} = a$

Therefore, the above equation becomes,

$\sqrt{5^2} + 5 + 6\\\\\sqrt{25} + 5 + 6\\\\5 + 5 + 6 = 10 + 6 = 16$

Thus the value of given expression is 16