Solve (18 / 100) * sqrt(22 / 252)

Question

Calculate the value

\frac{3 154}{700}

Alternative Form

\approx 0.053184

Evaluate

(\frac{18}{100}) \frac{22}{252}

Cancel out the common factor 2

\frac{9}{50} \frac{22}{252}

Cancel out the common factor 2

\frac{9}{50} \frac{11}{126}

Simplify the root

More Steps

Evaluate

\frac{11}{126}

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

\frac{11}{126}

Simplify the radical expression

More Steps

Evaluate

126

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

9 \times 14

Write the number in exponential form with the base of 3

3^{2} \times 14

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

3^{2} \times 14

Reduce the index of the radical and exponent with 2

314

\frac{11}{3 14}

Multiply by the Conjugate

\frac{11 \times 14}{3 14 \times 14}

Multiply the numbers

More Steps

Evaluate

11 \times 14

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

11 \times 14

Calculate the product

154

\frac{154}{3 14 \times 14}

Multiply the numbers

More Steps

Evaluate

314 \times 14

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

3 \times 14

Multiply the terms

42

\frac{154}{42}

\frac{9}{50} \times \frac{154}{42}

Reduce the numbers

\frac{3}{50} \times \frac{154}{14}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3 154}{50 \times 14}

Solution

\frac{3 154}{700}

Alternative Form

\approx 0.053184

Show Solution