How do you multiply #\sqrt { 98} \times 2\sqrt { 50}#?

1 Answer
Feb 19, 2017

#140#

Explanation:

#sqrt98xx2sqrt50#

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

#sqrt(2*7*7)xx2sqrt(2*5*5)#

Remove the squares and simplify.

#7sqrt2xx2*5sqrt2#

#7sqrt2xx10sqrt2#

Multiply the whole numbers and the square roots separately.

#(7xx10)(sqrt2xxsqrt2)#

#70xx2#

#140#