How do you multiply #3\sqrt { 24} \times \sqrt { 50}#?

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Answer 1 · 2017-02-19T17:51:13

#60sqrt3#

#3sqrt24xxsqrt50#

Determine the factors of the terms within the square root signs.

#3sqrt(2*2*2*3)xxsqrt(2*5*5)#

Remove the squares and simplify.

#3*2sqrt(2*3)xx5sqrt2#

#6sqrt6xx5sqrt2#

Multiply the whole numbers and the square roots separately.

#(6xx5)(sqrt6xxsqrt2)#

#30(sqrt(6*2))#

#30sqrt12#

Factorise ther term under the square root sign.

#30sqrt(2*2*3)#

Remove the square and simplify.

#30*2sqrt3#

#60sqrt3#