Solve sqrt(200 / 3)

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Example problems

Type your math problem... sqrt(200 / 3)

Question

Calculate the value

\frac{10 6}{3}

Alternative Form

\approx 8.164966

Evaluate

\frac{200}{3}

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

\frac{200}{3}

Simplify the radical expression

More Steps

Evaluate

200

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

100 \times 2

Write the number in exponential form with the base of 10

1 0^{2} \times 2

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

1 0^{2} \times 2

Reduce the index of the radical and exponent with 2

102

\frac{10 2}{3}

Multiply by the Conjugate

\frac{10 2 \times 3}{3 \times 3}

Multiply the numbers

More Steps

Evaluate

2 \times 3

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

2 \times 3

Calculate the product

6

\frac{10 6}{3 \times 3}

Solution

\frac{10 6}{3}

Alternative Form

\approx 8.164966

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