Question

What is the following product of sqrt 10 times sqrt 10

Answer 1

`√(10) * √(10) = ( √(10)) ^2 = 10`

Answer 2

Whenever we have been given to find the product of two square roots, the two roots cancel out each other. This is because
`(√(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

`√(10) * √(10)`

Now, the next step will be

`(√(10))^2`

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

Answer : 10