Solve sqrt(189 / 289)

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Example problems

Type your math problem... sqrt(189 / 289)

Question

Calculate the value

\frac{3 21}{17}

Alternative Form

\approx 0.80869

Evaluate

\frac{189}{289}

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

\frac{189}{289}

Simplify the radical expression

More Steps

Evaluate

189

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

9 \times 21

Write the number in exponential form with the base of 3

3^{2} \times 21

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

3^{2} \times 21

Reduce the index of the radical and exponent with 2

321

\frac{3 21}{289}

Solution

More Steps

Evaluate

289

Write the number in exponential form with the base of 17

1 7^{2}

Reduce the index of the radical and exponent with 2

17

\frac{3 21}{17}

Alternative Form

\approx 0.80869

Show Solution

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