Solve sqrt(147 / 74)

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Type your math problem... sqrt(147 / 74)

Question

Calculate the value

\frac{7 222}{74}

Alternative Form

\approx 1.409428

Evaluate

\frac{147}{74}

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

\frac{147}{74}

Simplify the radical expression

More Steps

Evaluate

147

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

49 \times 3

Write the number in exponential form with the base of 7

7^{2} \times 3

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

7^{2} \times 3

Reduce the index of the radical and exponent with 2

73

\frac{7 3}{74}

Multiply by the Conjugate

\frac{7 3 \times 74}{74 \times 74}

Multiply the numbers

More Steps

Evaluate

3 \times 74

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

3 \times 74

Calculate the product

222

\frac{7 222}{74 \times 74}

Solution

\frac{7 222}{74}

Alternative Form

\approx 1.409428

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