How do you simplify $sqrt(33a^11b^11) times sqrt(3)$ ?

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Answer 1 · 2016-07-31T00:08:56

$3a^5b^5sqrt(11ab)$

The two roots can be combined into a single root because they are being multiplied. Write the numbers as the product of the prime factors.

$sqrt(3 xx 3 xx11 a^11b^11)$

Factors with even powers are squares and have a square root.

= $sqrt(3^2 xx 11 xx a^10 b^10 ab)$

= $3a^5b^5sqrt(11ab)$

How do you simplify sqrt(33a^11b^11) times sqrt(3)sqrt(33a^11b^11) times sqrt(3)?