Question

Simplify square root of 144x^12y^20

Answer 1

Answer:

12x⁶y¹⁰

Step-by-step 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

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