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How do you simplify #2 sqrt (27) - sqrt (3)#?

Answer 1

Hazel Anglin

#5sqrt3#

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

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

#rArrsqrt27=sqrt(9xx3)=sqrt9xxsqrt3=3sqrt3#

#rArr2sqrt27-sqrt3#

#=2xx3sqrt3-sqrt3#

#=6sqrt3-sqrt3=5sqrt3#

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Answer 2

Julia Adams

To simplify 2√27 - √3, we can first simplify the square roots. The square root of 27 can be simplified as the square root of 9 times the square root of 3, which equals 3√3. Therefore, the expression becomes 2(3√3) - √3. Simplifying further, we have 6√3 - √3, which equals 5√3. So, the simplified form of 2√27 - √3 is 5√3.

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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.