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

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Answer 1 · 2016-08-26T06:06:00

$32 \sqrt{5}$ $32sqrt5$

$2 \sqrt{2} \times 4 \sqrt{40}$ $color(blue)(2sqrt2xx4sqrt40$

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

$rarrunderbrace2sqrt2xxunderbrace(4)sqrt40$

$rarr8xxsqrt2xxsqrt40$

$"Multiply the roots"$

$rarr8xxunderbrace(sqrt2xxsqrt40)$

$rarr8sqrt(2xx40)$

$rarr8sqrt(80)$

$"Simplify the root"$

$rarr8sqrt(4xx4xx5)$

$rarr8xx2xx2xxsqrt(5)$

$color(green)(rArr32sqrt(5)$

$"Cannot be simplified further"$

How do you simplify 2sqrt(2) times 4sqrt (40) 2√2×4√402sqrt(2) times 4sqrt (40) ?