Solve \sqrt 18 \sqrt 50-\sqrt 8

Question

Calculate the value

30 - 22

Alternative Form

\approx 27.171573

Evaluate

18 \times 50 - 8

Simplify the root

More Steps

Evaluate

18

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

9 \times 2

Write the number in exponential form with the base of 3

3^{2} \times 2

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

3^{2} \times 2

Reduce the index of the radical and exponent with 2

32

32 \times 50 - 8

Simplify the root

More Steps

Evaluate

50

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

25 \times 2

Write the number in exponential form with the base of 5

5^{2} \times 2

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

5^{2} \times 2

Reduce the index of the radical and exponent with 2

52

32 \times 52 - 8

Simplify the root

More Steps

Evaluate

8

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

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

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

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

32 \times 52 - 22

Solution

More Steps

Evaluate

32 \times 52

Multiply the terms

152 \times 2

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

15 \times 2

Multiply the terms

30

30 - 22

Alternative Form

\approx 27.171573

Show Solution