Solve ((-3) sqrt(27)) - (2 sqrt(27)) - (4 sqrt(27))

Question

Calculate the value

- 273

Alternative Form

\approx - 46.765372

Evaluate

((- 3) 27) - (227) - (427)

Remove the parentheses

(- 327) - (227) - (427)

Simplify the root

More Steps

Evaluate

27

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

9 \times 3

Write the number in exponential form with the base of 3

3^{2} \times 3

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

3^{2} \times 3

Reduce the index of the radical and exponent with 2

33

(- 3 \times 33) - (227) - (427)

Multiply the terms

(- 93) - (227) - (427)

Remove the parentheses

- 93 - (227) - (427)

Simplify the root

More Steps

Evaluate

27

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

9 \times 3

Write the number in exponential form with the base of 3

3^{2} \times 3

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

3^{2} \times 3

Reduce the index of the radical and exponent with 2

33

- 93 - (2 \times 33) - (427)

Multiply the terms

- 93 - 63 - (427)

Simplify the root

More Steps

Evaluate

27

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

9 \times 3

Write the number in exponential form with the base of 3

3^{2} \times 3

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

3^{2} \times 3

Reduce the index of the radical and exponent with 2

33

- 93 - 63 - (4 \times 33)

Multiply the terms

- 93 - 63 - 123

Collect like terms by calculating the sum or difference of their coefficients

(- 9 - 6 - 12) 3

Solution

- 273

Alternative Form

\approx - 46.765372

Show Solution