Solve sqrt(5000 / pi)

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Example problems

Type your math problem... sqrt(5000 / pi)

Question

Calculate the value

\frac{50 2 π}{π}

Alternative Form

\approx 39.894228

Evaluate

\frac{5000}{π}

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

\frac{5000}{π}

Simplify the radical expression

More Steps

Evaluate

5000

Write the expression as a product where the root of one of the factors can be evaluated

2500 \times 2

Write the number in exponential form with the base of 50

5 0^{2} \times 2

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

5 0^{2} \times 2

Reduce the index of the radical and exponent with 2

502

\frac{50 2}{π}

Multiply by the Conjugate

\frac{50 2 \times π}{π \times π}

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

\frac{50 2 π}{π \times π}

Solution

\frac{50 2 π}{π}

Alternative Form

\approx 39.894228

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