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How do you simplify #2sqrt5 *3sqrt10 #?

Answer 1

Hazel Anglin

#30sqrt(2)#

#color(red)(2sqrt(5))*color(blue)(3sqrt(10))#

#= color(red)(2)*color(blue)(3)*color(red)(sqrt(5))*color(blue)(sqrt(10))#

#= 6* color(green)(sqrt(50))#

#= 6* color(green)(sqrt(25)*sqrt(2))#

#=6*color(green)(5sqrt(2))#

#=30sqrt(2)#

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Answer 2

Ethan Adkins

I found: #30sqrt(2)#

You can write: #2sqrt(5)*3sqrt(5*2)=(2*3)sqrt(5)sqrt(5)sqrt(2)=# Multiply: #=6*5*sqrt(2)=# Where you used the faxt that #sqrt(x)sqrt(x)=x#.

So: #2sqrt(5)*3sqrt(10)=30sqrt(2)#

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Answer 3

Nathan Axel

To simplify the expression 2√5 * 3√10, we can multiply the coefficients (2 * 3 = 6) and multiply the square roots (√5 * √10 = √(5 * 10) = √50). Simplifying √50, we find that it is equal to √(25 * 2) = √25 * √2 = 5√2. Therefore, the simplified expression is 6 * 5√2, which can be further simplified to 30√2.

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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.