Question

√5 (√5-√2) . find the product.

Answer 1

You have the following expression:

`√(5)(√(5)-√(2))`

In order to simplfy the previous equation, you first use distribution property. Next you use the fact that the product of two roots is the root of the product

`\begin{gathered} √(5)(√(5)-√(2))= \\ √(5)√(5)-√(5)√(2)= \\ √((5)(5))-√((5)(2))= \\ √(25)-√(10)= \\ 5-√(10) \end{gathered}`

Then, the simplified expression is 5 - √10