Solve (-sqrt(2)) * (sqrt(10) - (4 sqrt(6)))

Question

Calculate the value

- 25 + 83

Alternative Form

\approx 9.384271

Evaluate

(- 2) (10 - (46))

Use the rules for multiplication and division

- 2 \times (10 - (46))

Multiply the numbers

- 2 \times (10 - 46)

Apply the distributive property

- 2 \times 10 - (- 2 \times 46)

Multiply the numbers

More Steps

Evaluate

- 2 \times 10

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

- 2 \times 10

Calculate the product

- 20

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

- 25

- 25 - (- 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

- 25 - (- 83)

Solution

- 25 + 83

Alternative Form

\approx 9.384271

Show Solution