Simplify the following expression
sqrt(7) (sqrt7 + sqrt35)=
To simplify this expression, we can use the distributive property:
sqrt(7)(sqrt(7) + sqrt(35)) = sqrt(7)*sqrt(7) + sqrt(7)*sqrt(35)
Applying the product rule for square roots on the first term:
= sqrt(7*7) + sqrt(7)*sqrt(35)
= sqrt(49) + sqrt(7)*sqrt(35)
Simplifying further:
= 7 + sqrt(7*35)
= 7 + sqrt(7^2 * 5)
= 7 + sqrt(245)
So the simplified expression is 7 + sqrt(245).