Solve sqrt((-20) / ((-20) - 7))

Question

Calculate the value

\frac{2 15}{9}

Alternative Form

\approx 0.860663

Evaluate

\frac{- 20}{( - 20 ) - 7}

Remove the parentheses

\frac{- 20}{- 20 - 7}

Subtract the numbers

\frac{- 20}{- 27}

Cancel out the common factor - 1

\frac{20}{27}

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

\frac{20}{27}

Simplify the radical expression

More Steps

Evaluate

20

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

4 \times 5

Write the number in exponential form with the base of 2

2^{2} \times 5

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

2^{2} \times 5

Reduce the index of the radical and exponent with 2

25

\frac{2 5}{27}

Simplify the radical expression

More Steps

Evaluate

27

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

9 \times 3

Write the number in exponential form with the base of 3

3^{2} \times 3

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

3^{2} \times 3

Reduce the index of the radical and exponent with 2

33

\frac{2 5}{3 3}

Multiply by the Conjugate

\frac{2 5 \times 3}{3 3 \times 3}

Multiply the numbers

More Steps

Evaluate

5 \times 3

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

5 \times 3

Calculate the product

15

\frac{2 15}{3 3 \times 3}

Solution

More Steps

Evaluate

33 \times 3

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

3 \times 3

Multiply the numbers

9

\frac{2 15}{9}

Alternative Form

\approx 0.860663

Show Solution