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

Question

1341 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-11T16:16:14

$5sqrt(14)$

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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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: $" "5sqrt(2xx7)" "=" "5sqrt(14)$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check:

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

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

How do you multiply and simplify by factoring sqrt10*sqrt35sqrt10*sqrt35?