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How do you simplify #sqrt 15 * 4 sqrt 3#?

Answer 1

Ethan Adkins

#12sqrt5#

sqrt15*4sqrt3#

#=4sqrt15xxsqrt3#

#=4sqrt(15xx3)=4sqrt45#

#=4sqrt(9xx5)#

#=4xxsqrt9xxsqrt5#

#=12sqrt5#

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Answer 2

Jace Anderson

To simplify sqrt 15 * 4 sqrt 3, you can multiply the numbers outside the square roots and combine the square roots of the same number.

sqrt 15 * 4 sqrt 3 = 4 * sqrt(15) * sqrt(3) = 4 * sqrt(15 * 3) = 4 * sqrt(45) = 4 * sqrt(9 * 5) = 4 * 3 * sqrt(5) = 12 sqrt(5).

Therefore, sqrt 15 * 4 sqrt 3 simplifies to 12 sqrt(5).

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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.