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How do you simplify #sqrt5(3sqrt5-4sqrt3)#?

Answer 1

Nathan Axel

#15-4sqrt15#

#"using the "color(blue)"laws of radicals"#

#•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#•color(white)(x)sqrtaxxsqrta=(sqrta)^2=a#

#"distribute the bracket"#

#=3(sqrt5)^2-4sqrt(5xx3)#

#=(3xx5)-4sqrt15=15-4sqrt15#

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Answer 2

Kennedy Adams

To simplify the expression sqrt5(3sqrt5-4sqrt3), we can distribute the square root of 5 to both terms inside the parentheses. This gives us 3sqrt(5)sqrt(5) - 4sqrt(3)sqrt(5). Simplifying further, we have 3(5) - 4sqrt(3)sqrt(5). This simplifies to 15 - 20sqrt(15).

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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.