How do you simplify $2sqrt(2) times 4sqrt (40)$ ?

Question

1401 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-26T06:06:00

$32sqrt5$

$color(blue)(2sqrt2xx4sqrt40$

$"First multiply the coefficients of the roots"$ $(2 and 4)$

$rarrunderbrace2sqrt2xxunderbrace(4)sqrt40$

$rarr8xxsqrt2xxsqrt40$

$"Multiply the roots"$

$rarr8xxunderbrace(sqrt2xxsqrt40)$

$rarr8sqrt(2xx40)$

$rarr8sqrt(80)$

$"Simplify the root"$

$rarr8sqrt(4xx4xx5)$

$rarr8xx2xx2xxsqrt(5)$

$color(green)(rArr32sqrt(5)$

$"Cannot be simplified further"$

How do you simplify 2sqrt(2) times 4sqrt (40) 2sqrt(2) times 4sqrt (40) ?