How do you rationalize the denominator and simplify $(7sqrt8)/(4sqrt56)$ ?

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Answer 1 · 2018-04-11T16:39:16

$sqrt7/4$

$(7sqrt8)/(4sqrt56) xx sqrt56/sqrt56$

$= (7sqrt8xx sqrt56)/(4xx56)$

$= (7sqrt(8xx 8xx7))/(4xx56)$

$= (7 xx 8 sqrt7)/(4xx56)$

$= sqrt7/4$

Answer 2 · 2018-04-11T17:26:03

$sqrt7/4$

$(7 sqrt 8)/(4 sqrt 56)$

$:.=(7 sqrt(2*2*2))/(4 sqrt(14*4))$

$sqrt2*sqrt2=2$

$:.=(14 sqrt2)/(8 sqrt14)$

$:.=(14 sqrt2)/(8 sqrt14)xx(8 sqrt14)/(8 sqrt14)$

$:.=(cancel 112^1 sqrt 28)/cancel 896^8$

$:.=(sqrt 28)/8$

$:.=sqrt(2*2*7)/8$

$:.=(2 sqrt 7)/8$

$:.=sqrt 7/4$

How do you rationalize the denominator and simplify (7sqrt8)/(4sqrt56)(7sqrt8)/(4sqrt56)?