Solve r^3172-1 - ScanMath

Question

Simplify the expression

172 r^{3} - 1

Evaluate

r^{3} \times 172 - 1

Solution

172 r^{3} - 1

Show Solution

r = \frac{3 3698}{86}

Alternative Form

r \approx 0.179814

Evaluate

r^{3} \times 172 - 1

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

r^{3} \times 172 - 1 = 0

Use the commutative property to reorder the terms

172 r^{3} - 1 = 0

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

172 r^{3} = 0 + 1

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

172 r^{3} = 1

Divide both sides

\frac{172 r ^{3}}{172} = \frac{1}{172}

Divide the numbers

r^{3} = \frac{1}{172}

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

3 r^{3} = 3 \frac{1}{172}

Calculate

r = 3 \frac{1}{172}

Solution

More Steps

Evaluate

3 \frac{1}{172}

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

\frac{3 1}{3 172}

Simplify the radical expression

\frac{1}{3 172}

Multiply by the Conjugate

\frac{3 17 2 ^{2}}{3 172 \times 3 17 2 ^{2}}

Simplify

\frac{2 3 3698}{3 172 \times 3 17 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3172 \times 3 17 2^{2}

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

3 172 \times 17 2^{2}

Calculate the product

3 17 2^{3}

Reduce the index of the radical and exponent with 3

172

\frac{2 3 3698}{172}

Cancel out the common factor 2

\frac{3 3698}{86}

r = \frac{3 3698}{86}

Alternative Form

r \approx 0.179814

Show Solution