How do you simplify #\frac { 4\sqrt { 27} } { \sqrt { 256} }#?

1 Answer
Evan
Mar 27, 2017

#(3sqrt3)/4#

Explanation:

#(4sqrt27)/sqrt256#

Factorise the numerator further,

#(4xxsqrt3xxsqrt9)/sqrt256#

Square root the denominator,

#(cancel(4_1)xxsqrt3xxsqrt9)/cancel(16_4)#

Square root 9 in the numerator

#(3sqrt3)/4#

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