How do you simplify #sqrt12 times sqrt 6#?

Answer 1

#6sqrt2#

To simplify #sqrt12xxsqrt6#, first let us factorize each of the numbers
#sqrt12xxsqrt6# = #sqrt(2xx2xx3)xxsqrt(2xx3)#
=#sqrt(2xx2xx3xx2xx3)=sqrt(2xx2xx3xx3xx2)#
=#2xx3xxsqrt2#
=#6sqrt2#
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Answer 2

#sqrt 12xxsqrt6=color(blue)(6sqrt 2)#

#sqrt 12xxsqrt6#
Simplify #sqrt 12#.
#sqrt 12=(2xx2xx3)#
#sqrt 12=(2^2xx3)#
Apply square root rule #sqrt a^2=a#.
#sqrt 12=2sqrt 3#

Rewrite the expression.

#2sqrt 3xxsqrt6=#
#2sqrt 18#
Simplify #2sqrt 18#.
#2sqrt 18=2sqrt(2xx3xx3)#
#2sqrt 18=2sqrt(2xx3^2)#
Apply square root rule #sqrt a^2=a#.
#2sqrt 18=2xx3sqrt 2#
#2sqrt 18=6sqrt 2#
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Answer 3

To simplify sqrt12 times sqrt6, you can multiply the numbers inside the square roots together. sqrt12 times sqrt6 equals sqrt(12*6), which simplifies to sqrt72.

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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.

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.

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.

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.

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