Solve \sqrt{27} - \sqrt{12} \sqrt{147}

Question

Calculate the value

33 - 42

Alternative Form

\approx - 36.803848

Evaluate

27 - 12 \times 147

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

33 - 12 \times 147

Simplify the root

More Steps

Evaluate

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

33 - 23 \times 147

Simplify the root

More Steps

Evaluate

147

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

49 \times 3

Write the number in exponential form with the base of 7

7^{2} \times 3

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

7^{2} \times 3

Reduce the index of the radical and exponent with 2

73

33 - 23 \times 73

Solution

More Steps

Evaluate

23 \times 73

Multiply the terms

143 \times 3

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

14 \times 3

Multiply the terms

42

33 - 42

Alternative Form

\approx - 36.803848

Show Solution