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Simplify the following expression

sqrt(7) (sqrt7 + sqrt35)=

1 answer

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).
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