Solve r^3132-1 - ScanMath

Question

Simplify the expression

132 r^{3} - 1

Evaluate

r^{3} \times 132 - 1

Solution

132 r^{3} - 1

Show Solution

r = \frac{3 2178}{66}

Alternative Form

r \approx 0.1964

Evaluate

r^{3} \times 132 - 1

To find the roots of the expression,set the expression equal to 0

r^{3} \times 132 - 1 = 0

Use the commutative property to reorder the terms

132 r^{3} - 1 = 0

Move the constant to the right-hand side and change its sign

132 r^{3} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

132 r^{3} = 1

Divide both sides

\frac{132 r ^{3}}{132} = \frac{1}{132}

Divide the numbers

r^{3} = \frac{1}{132}

Take the 3 -th root on both sides of the equation

3 r^{3} = 3 \frac{1}{132}

Calculate

r = 3 \frac{1}{132}

Solution

More Steps

Evaluate

3 \frac{1}{132}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 132}

Simplify the radical expression

\frac{1}{3 132}

Multiply by the Conjugate

\frac{3 13 2 ^{2}}{3 132 \times 3 13 2 ^{2}}

Simplify

\frac{2 3 2178}{3 132 \times 3 13 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3132 \times 3 13 2^{2}

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

3 132 \times 13 2^{2}

Calculate the product

3 13 2^{3}

Reduce the index of the radical and exponent with 3

132

\frac{2 3 2178}{132}

Cancel out the common factor 2

\frac{3 2178}{66}

r = \frac{3 2178}{66}

Alternative Form

r \approx 0.1964

Show Solution