Video: Simplifying Numerical Expressions Using the Properties of Square Roots

Simplify 5√7(1 + √7).

00:48

Video Transcript

Simplify five square root seven times one plus square root seven.

In order to simplify, we need to distribute. So we need to multiply five square root seven times one and then add five square root seven times square root seven. Five square root seven times one is equal to five square root seven.

Now five square root seven times square root seven means we need to multiply numbers outside the square roots together, so five times one, which is five, and then multiply numbers inside the square roots together. So square root seven times square root seven is square root 49. But the square root of 49 simplifies to be seven. And five times seven is 35. So we end up with five square root seven plus 35. And this will be our final answer.

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