What is the square root of \(\frac{x^6}{y^4}\)?
Answer (3)
y 4 x 6 = y 4 x 6 = y 2 ⋅ 2 x 3 ⋅ 2 = ( y 2 ) 2 ( x 2 ) 3 = ∣ y ∣ 2 ∣ x ∣ 3 = y 2 ∣ x ∣ 3 y = 0
The answer is the square root of 6*X over 2
The square root of y 4 x 6 simplifies to y 2 ∣ x ∣ 3 assuming y = 0 . This is achieved by separately taking the square roots of the numerator and denominator and simplifying each part. Ultimately, the result is expressed in terms of the absolute value of x and y 2 .
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