Solve sqrt(52 / 5)

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Type your math problem... sqrt(52 / 5)

Question

Calculate the value

\frac{2 65}{5}

Alternative Form

\approx 3.224903

Evaluate

\frac{52}{5}

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

\frac{52}{5}

Simplify the radical expression

More Steps

Evaluate

52

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

4 \times 13

Write the number in exponential form with the base of 2

2^{2} \times 13

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

2^{2} \times 13

Reduce the index of the radical and exponent with 2

213

\frac{2 13}{5}

Multiply by the Conjugate

\frac{2 13 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

13 \times 5

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

13 \times 5

Calculate the product

65

\frac{2 65}{5 \times 5}

Solution

\frac{2 65}{5}

Alternative Form

\approx 3.224903

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