Solve sqrt(18) * sqrt(24)

Question

Calculate the value

123

Alternative Form

\approx 20.78461

Evaluate

18 \times 24

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 24

Simplify the root

More Steps

Evaluate

24

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

4 \times 6

Write the number in exponential form with the base of 2

2^{2} \times 6

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

2^{2} \times 6

Reduce the index of the radical and exponent with 2

26

32 \times 26

Multiply the terms

62 \times 6

Rewrite the expression

More Steps

Evaluate

2 \times 6

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

2 \times 6

Calculate the product

12

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

4 \times 3

Write the number in exponential form with the base of 2

2^{2} \times 3

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

2^{2} \times 3

Reduce the index of the radical and exponent with 2

23

6 \times 23

Solution

123

Alternative Form

\approx 20.78461

Show Solution