Solve r^3444-8 - ScanMath

Question

Simplify the expression

444 r^{3} - 8

Evaluate

r^{3} \times 444 - 8

Solution

444 r^{3} - 8

Show Solution

4 (111 r^{3} - 2)

Evaluate

r^{3} \times 444 - 8

Use the commutative property to reorder the terms

444 r^{3} - 8

Solution

4 (111 r^{3} - 2)

Show Solution

r = \frac{3 24642}{111}

Alternative Form

r \approx 0.262162

Evaluate

r^{3} \times 444 - 8

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

r^{3} \times 444 - 8 = 0

Use the commutative property to reorder the terms

444 r^{3} - 8 = 0

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

444 r^{3} = 0 + 8

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

444 r^{3} = 8

Divide both sides

\frac{444 r ^{3}}{444} = \frac{8}{444}

Divide the numbers

r^{3} = \frac{8}{444}

Cancel out the common factor 4

r^{3} = \frac{2}{111}

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

3 r^{3} = 3 \frac{2}{111}

Calculate

r = 3 \frac{2}{111}

Solution

More Steps

Evaluate

3 \frac{2}{111}

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

\frac{3 2}{3 111}

Multiply by the Conjugate

\frac{3 2 \times 3 11 1 ^{2}}{3 111 \times 3 11 1 ^{2}}

Simplify

\frac{3 2 \times 3 12321}{3 111 \times 3 11 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 312321

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

3 2 \times 12321

Calculate the product

324642

\frac{3 24642}{3 111 \times 3 11 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3111 \times 3 11 1^{2}

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

3 111 \times 11 1^{2}

Calculate the product

3 11 1^{3}

Reduce the index of the radical and exponent with 3

111

\frac{3 24642}{111}

r = \frac{3 24642}{111}

Alternative Form

r \approx 0.262162

Show Solution