Question

Simplify square root of 144x^12y^20

Answer 1

12x⁶y¹⁰

Explanation:

√144x¹²y²⁰

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12 × 12 = 144

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12√x¹²y²⁰

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six sets of two equals x⁶

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12x⁶√y²⁰

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ten sets of two equals y¹⁰

12x⁶y¹⁰

I hope this helps!

Answer 2

`~~~\sqrt{144 x^(12) y^(20)}\\\\=\left(144 x^(12) y^(20) \right)^(\tfrac 12)~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^(\tfrac 12 ) \right]\\\\=\left(144 \right)^(\tfrac 12) \cdot \left(x^{12 \right)^(\tfrac 12) \cdot \left(y^(20) \right)^(\tfrac 12)\\\\=\left(12^2 \right)^(\tfrac 12) \cdot x^{\tfrac{12}2} \cdot y^{\tfrac{20}2}\\\\=12 x^6y^(10)`