Solve (-sqrt(2)) * (sqrt(8) - (2 sqrt(24)))

Question

Calculate the value

- 4 + 83

Alternative Form

\approx 9.856406

Evaluate

(- 2) (8 - (224))

Use the rules for multiplication and division

- 2 \times (8 - (224))

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

- 2 \times (8 - (2 \times 26))

Multiply the terms

- 2 \times (8 - 46)

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

- 2 \times (22 - 46)

Apply the distributive property

- 2 \times 22 - (- 2 \times 46)

Multiply the numbers

More Steps

Evaluate

- 2 \times 22

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

- 2 \times 2

Multiply the terms

- 4

- 4 - (- 2 \times 46)

Multiply the numbers

More Steps

Evaluate

- 2 \times 46

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

- 23 \times 4

Multiply the terms

- 83

- 4 - (- 83)

Solution

- 4 + 83

Alternative Form

\approx 9.856406

Show Solution