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How do you simplify #sqrt5(sqrt3 - sqrt7)#?

Answer 1

Eli Assouline

#sqrt15-sqrt35#

#sqrt5(sqrt3-sqrt7)#

Distribute the #sqrt5#.

#sqrt5xxsqrt3-sqrt5xxsqrt7#

Simplify.

#sqrt5sqrt3-sqrt5sqrt7#

Simplify.

#sqrt15-sqrt35#

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Answer 2

Jace Anderson

To simplify the expression sqrt5(sqrt3 - sqrt7), we can distribute the square root of 5 to both terms inside the parentheses. This gives us sqrt5 * sqrt3 - sqrt5 * sqrt7. Simplifying further, we have sqrt(5 * 3) - sqrt(5 * 7), which becomes sqrt15 - sqrt35. Therefore, the simplified form of sqrt5(sqrt3 - sqrt7) is sqrt15 - sqrt35.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.