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

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Answer 1 · 2016-07-31T00:08:56

$3 a^{5} b^{5} \sqrt{11 a b}$ $3a^5b^5sqrt(11ab)$

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.

$\sqrt{3 \times 3 \times 11 a^{11} b^{11}}$ $sqrt(3 xx 3 xx11 a^11b^11)$

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

= $\sqrt{3^{2} \times 11 \times a^{10} b^{10} a b}$ $sqrt(3^2 xx 11 xx a^10 b^10 ab)$

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

How do you simplify √33a11b11×√3sqrt(33a^11b^11) times sqrt(3)?