Solve \sqrt (9y/2x)

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Type your math problem... \sqrt (9y/2x)

Question

Simplify the expression

\frac{3 2 x y}{2}

Evaluate

(9 \times \frac{y}{2}) x

Remove the parentheses

9 \times \frac{y}{2} x

Multiply the terms

More Steps

Multiply the terms

9 \times \frac{y}{2} x

Multiply the terms

\frac{9 y}{2} x

Multiply the terms

\frac{9 y x}{2}

\frac{9 y x}{2}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{9 y x}{2}

Simplify the radical expression

More Steps

Evaluate

9 y x

Rewrite the exponent as a sum

3^{2} y x

The root of a product is equal to the product of the roots of each factor

3^{2} \times y x

Reduce the index of the radical and exponent with 2

3 x y

\frac{3 x y}{2}

Multiply by the Conjugate

\frac{3 x y \times 2}{2 \times 2}

Calculate

\frac{3 x y \times 2}{2}

Solution

More Steps

Evaluate

x y \times 2

The product of roots with the same index is equal to the root of the product

x y \times 2

Calculate the product

2 x y

\frac{3 2 x y}{2}

Show Solution

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