Solve sqrt(15) * ((2 sqrt(10)) - (4 sqrt(6)))

Question

Calculate the value

106 - 1210

Alternative Form

\approx - 13.452434

Evaluate

15 \times ((210) - (46))

Multiply the numbers

15 \times (210 - (46))

Multiply the numbers

15 \times (210 - 46)

Apply the distributive property

15 \times 210 - 15 \times 46

Multiply the numbers

More Steps

Evaluate

15 \times 210

Rewrite the expression

More Steps

Evaluate

15 \times 10

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

15 \times 10

Calculate the product

150

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

25 \times 6

Write the number in exponential form with the base of 5

5^{2} \times 6

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

5^{2} \times 6

Reduce the index of the radical and exponent with 2

56

56 \times 2

Multiply the terms

106

106 - 15 \times 46

Solution

More Steps

Evaluate

15 \times 46

Rewrite the expression

More Steps

Evaluate

15 \times 6

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

15 \times 6

Calculate the product

90

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

9 \times 10

Write the number in exponential form with the base of 3

3^{2} \times 10

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

3^{2} \times 10

Reduce the index of the radical and exponent with 2

310

310 \times 4

Multiply the terms

1210

106 - 1210

Alternative Form

\approx - 13.452434

Show Solution