Solve sqrt(40 / 3)

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Example problems

Type your math problem... sqrt(40 / 3)

Question

Calculate the value

\frac{2 30}{3}

Alternative Form

\approx 3.651484

Evaluate

\frac{40}{3}

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

\frac{40}{3}

Simplify the radical expression

More Steps

Evaluate

40

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

4 \times 10

Write the number in exponential form with the base of 2

2^{2} \times 10

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

2^{2} \times 10

Reduce the index of the radical and exponent with 2

210

\frac{2 10}{3}

Multiply by the Conjugate

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

Multiply the numbers

More Steps

Evaluate

10 \times 3

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

10 \times 3

Calculate the product

30

\frac{2 30}{3 \times 3}

Solution

\frac{2 30}{3}

Alternative Form

\approx 3.651484

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