Solve sqrt(272 / 588)

Question

Calculate the value

\frac{2 51}{21}

Alternative Form

\approx 0.680136

Evaluate

\frac{272}{588}

Cancel out the common factor 4

\frac{68}{147}

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

\frac{68}{147}

Simplify the radical expression

More Steps

Evaluate

68

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

4 \times 17

Write the number in exponential form with the base of 2

2^{2} \times 17

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

2^{2} \times 17

Reduce the index of the radical and exponent with 2

217

\frac{2 17}{147}

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{2 17}{7 3}

Multiply by the Conjugate

\frac{2 17 \times 3}{7 3 \times 3}

Multiply the numbers

More Steps

Evaluate

17 \times 3

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

17 \times 3

Calculate the product

51

\frac{2 51}{7 3 \times 3}

Solution

More Steps

Evaluate

73 \times 3

When a square root of an expression is multiplied by itself,the result is that expression

7 \times 3

Multiply the terms

21

\frac{2 51}{21}

Alternative Form

\approx 0.680136

Show Solution