Question

What is the following product of sqrt 10 times sqrt 10

Answer 1

Whenever we have been given to find the product of two square roots, the two roots cancel out each other. This is because $(\sqrt{number} )^2 = number$

The power of two and the square root cancel out each other

In the given problem we have to multiply the square root 10 by itself, we have

$\sqrt{10} * \sqrt{10}$

Now, the next step will be

$(\sqrt{10})^2$

Now the square root and the power of 2 cancel each other an d the result will be 10

Answer : 10

Answer 2

$\sqrt{10} \times \sqrt{10} = ( \sqrt{10}) ^2 = 10$