How do you simplify #3sqrt(75)-5sqrt(100)#?

Answer 1

Hazel Anglin

#15sqrt3-50#

Simply roots #sqrt75#=#sqrt3*sqrt25# =#5sqrt3# #sqrt100=10# Substitute back in #3*5sqrt3-5*10=15sqrt3-50#

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Answer 2

Abigail Allen

#15 * sqrt (3) - 50#

You apply the following rule:

#( a b ) ^x = a^x b^x#

Here:

# 3 sqrt (75) - 5 sqrt (100) = 3 sqrt (25 * 3) - 5 * 10#

Applying the aforementioned guideline to the expression's left-hand portion:

# 3 sqrt (25) sqrt (3) - 5 * 10 = 3 * 5 * sqrt (3) - 50#

# = 15 * sqrt (3) - 50#

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Answer 3

Avery Alexander

To simplify 3√75 - 5√100, we can first simplify the square roots. The square root of 75 can be simplified to 5√3, and the square root of 100 simplifies to 10. Therefore, the expression becomes 3(5√3) - 5(10). Simplifying further, we have 15√3 - 50.

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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.