Solve r^3172-4 - ScanMath

Question

Simplify the expression

172 r^{3} - 4

Evaluate

r^{3} \times 172 - 4

Solution

172 r^{3} - 4

Show Solution

4 (43 r^{3} - 1)

Evaluate

r^{3} \times 172 - 4

Use the commutative property to reorder the terms

172 r^{3} - 4

Solution

4 (43 r^{3} - 1)

Show Solution

r = \frac{3 1849}{43}

Alternative Form

r \approx 0.285437

Evaluate

r^{3} \times 172 - 4

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

r^{3} \times 172 - 4 = 0

Use the commutative property to reorder the terms

172 r^{3} - 4 = 0

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

172 r^{3} = 0 + 4

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

172 r^{3} = 4

Divide both sides

\frac{172 r ^{3}}{172} = \frac{4}{172}

Divide the numbers

r^{3} = \frac{4}{172}

Cancel out the common factor 4

r^{3} = \frac{1}{43}

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

3 r^{3} = 3 \frac{1}{43}

Calculate

r = 3 \frac{1}{43}

Solution

More Steps

Evaluate

3 \frac{1}{43}

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

\frac{3 1}{3 43}

Simplify the radical expression

\frac{1}{3 43}

Multiply by the Conjugate

\frac{3 4 3 ^{2}}{3 43 \times 3 4 3 ^{2}}

Simplify

\frac{3 1849}{3 43 \times 3 4 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

343 \times 3 4 3^{2}

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

3 43 \times 4 3^{2}

Calculate the product

3 4 3^{3}

Reduce the index of the radical and exponent with 3

43

\frac{3 1849}{43}

r = \frac{3 1849}{43}

Alternative Form

r \approx 0.285437

Show Solution