How do you multiply and simplify by factoring #sqrt10*sqrt35#?

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Answer 1 · 2017-01-11T16:16:14

#5sqrt(14)#

Introductory note: #sqrt(axxb) " is the same as "sqrt(a)xxsqrt(b)#

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Given:#" "sqrt10" "xx" "sqrt35#

Write as: #" "sqrt(2xx5)" "xx" "sqrt(5xx7)#

Which is also the same as:#" "sqrt2xxsqrt5xxsqrt5xxsqrt7#

But #sqrt5xxsqrt5 = 5# giving:#" "5sqrt2xxsqrt7#

but this is the same as:#" "5sqrt(2xx7)" "=" "5sqrt(14)#

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Check:

#" "5sqrt(14) ~~18.70828......#

#sqrt(10)xxsqrt(35) ~~ 18.70828......#