How do you simplify $8sqrt27$ ?

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Answer 1 · 2016-07-13T11:41:23

= $24sqrt3$

27 is not a perfect square and therefore does not have an exact square root.

Express 27 as the product of its prime factors.

$8sqrt27 = 8sqrt(3xx3xx3)" group factors in pairs"$

= $8sqrt(3^2xx3) " find root where possible"$

= $8 xx 3 sqrt3$

= $24sqrt3$

How do you simplify 8sqrt278sqrt27?