Solve sqrt(7000 / 15)

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Example problems

Type your math problem... sqrt(7000 / 15)

Question

Calculate the value

\frac{10 42}{3}

Alternative Form

\approx 21.602469

Evaluate

\frac{7000}{15}

Cancel out the common factor 5

\frac{1400}{3}

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

\frac{1400}{3}

Simplify the radical expression

More Steps

Evaluate

1400

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

100 \times 14

Write the number in exponential form with the base of 10

1 0^{2} \times 14

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

1 0^{2} \times 14

Reduce the index of the radical and exponent with 2

1014

\frac{10 14}{3}

Multiply by the Conjugate

\frac{10 14 \times 3}{3 \times 3}

Multiply the numbers

More Steps

Evaluate

14 \times 3

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

14 \times 3

Calculate the product

42

\frac{10 42}{3 \times 3}

Solution

\frac{10 42}{3}

Alternative Form

\approx 21.602469

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