Solve (6 / sqrt(15)) * sqrt(20)

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Example problems

Type your math problem... (6 / sqrt(15)) * sqrt(20)

Question

Calculate the value

43

Alternative Form

\approx 6.928203

Evaluate

(\frac{6}{15}) 20

Remove the unnecessary parentheses

\frac{6}{15} \times 20

Simplify the root

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{6}{15} \times 25

Rewrite the expression

\frac{6}{5 \times 3} \times 25

Reduce the numbers

\frac{6}{3} \times 2

Multiply the numbers

\frac{6 \times 2}{3}

Multiply the numbers

\frac{12}{3}

Multiply by the Conjugate

\frac{12 3}{3 \times 3}

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

\frac{12 3}{3}

Solution

43

Alternative Form

\approx 6.928203

Show Solution

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