Solve d^328-25 - ScanMath

Question

Simplify the expression

28 d^{3} - 25

Evaluate

d^{3} \times 28 - 25

Solution

28 d^{3} - 25

Show Solution

d = \frac{3 2450}{14}

Alternative Form

d \approx 0.962928

Evaluate

d^{3} \times 28 - 25

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

d^{3} \times 28 - 25 = 0

Use the commutative property to reorder the terms

28 d^{3} - 25 = 0

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

28 d^{3} = 0 + 25

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

28 d^{3} = 25

Divide both sides

\frac{28 d ^{3}}{28} = \frac{25}{28}

Divide the numbers

d^{3} = \frac{25}{28}

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

3 d^{3} = 3 \frac{25}{28}

Calculate

d = 3 \frac{25}{28}

Solution

More Steps

Evaluate

3 \frac{25}{28}

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

\frac{3 25}{3 28}

Multiply by the Conjugate

\frac{3 25 \times 3 2 8 ^{2}}{3 28 \times 3 2 8 ^{2}}

Simplify

\frac{3 25 \times 2 3 98}{3 28 \times 3 2 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

325 \times 2398

Multiply the terms

32450 \times 2

Use the commutative property to reorder the terms

232450

\frac{2 3 2450}{3 28 \times 3 2 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

328 \times 3 2 8^{2}

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

3 28 \times 2 8^{2}

Calculate the product

3 2 8^{3}

Reduce the index of the radical and exponent with 3

28

\frac{2 3 2450}{28}

Cancel out the common factor 2

\frac{3 2450}{14}

d = \frac{3 2450}{14}

Alternative Form

d \approx 0.962928

Show Solution