Solve dd^2220-3 - ScanMath

Question

Simplify the expression

220 d^{3} - 3

Evaluate

d \times d^{2} \times 220 - 3

Solution

More Steps

Evaluate

d \times d^{2} \times 220

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 220

Add the numbers

d^{3} \times 220

Use the commutative property to reorder the terms

220 d^{3}

220 d^{3} - 3

Show Solution

d = \frac{3 18150}{110}

Alternative Form

d \approx 0.238909

Evaluate

d \times d^{2} \times 220 - 3

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

d \times d^{2} \times 220 - 3 = 0

Multiply

More Steps

Multiply the terms

d \times d^{2} \times 220

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 220

Add the numbers

d^{3} \times 220

Use the commutative property to reorder the terms

220 d^{3}

220 d^{3} - 3 = 0

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

220 d^{3} = 0 + 3

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

220 d^{3} = 3

Divide both sides

\frac{220 d ^{3}}{220} = \frac{3}{220}

Divide the numbers

d^{3} = \frac{3}{220}

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

3 d^{3} = 3 \frac{3}{220}

Calculate

d = 3 \frac{3}{220}

Solution

More Steps

Evaluate

3 \frac{3}{220}

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

\frac{3 3}{3 220}

Multiply by the Conjugate

\frac{3 3 \times 3 22 0 ^{2}}{3 220 \times 3 22 0 ^{2}}

Simplify

\frac{3 3 \times 2 3 6050}{3 220 \times 3 22 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 236050

Multiply the terms

318150 \times 2

Use the commutative property to reorder the terms

2318150

\frac{2 3 18150}{3 220 \times 3 22 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3220 \times 3 22 0^{2}

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

3 220 \times 22 0^{2}

Calculate the product

3 22 0^{3}

Reduce the index of the radical and exponent with 3

220

\frac{2 3 18150}{220}

Cancel out the common factor 2

\frac{3 18150}{110}

d = \frac{3 18150}{110}

Alternative Form

d \approx 0.238909

Show Solution