Solve 2 * sqrt(1 / 5) * sqrt(1 / 125)

Question

Calculate the value

\frac{2}{25}

Alternative Form

0.08

Evaluate

2 \frac{1}{5} \times \frac{1}{125}

Simplify the root

More Steps

Evaluate

\frac{1}{5}

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

\frac{1}{5}

Simplify the radical expression

\frac{1}{5}

Multiply by the Conjugate

\frac{5}{5 \times 5}

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

\frac{5}{5}

2 \times \frac{5}{5} \frac{1}{125}

Simplify the root

More Steps

Evaluate

\frac{1}{125}

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

\frac{1}{125}

Simplify the radical expression

\frac{1}{125}

Simplify the radical expression

More Steps

Evaluate

125

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

25 \times 5

Write the number in exponential form with the base of 5

5^{2} \times 5

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

5^{2} \times 5

Reduce the index of the radical and exponent with 2

55

\frac{1}{5 5}

Multiply by the Conjugate

\frac{5}{5 5 \times 5}

Multiply the numbers

More Steps

Evaluate

55 \times 5

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

5 \times 5

Multiply the numbers

25

\frac{5}{25}

2 \times \frac{5}{5} \times \frac{5}{25}

Multiply the numbers

\frac{2 5}{5} \times \frac{5}{25}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2 5 \times 5}{5 \times 25}

Multiply the numbers

More Steps

Evaluate

25 \times 5

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

2 \times 5

Multiply the terms

10

\frac{10}{5 \times 25}

Multiply the numbers

\frac{10}{125}

Solution

\frac{2}{25}

Alternative Form

0.08

Show Solution