Solve dd^2226-5 - ScanMath

Question

Simplify the expression

226 d^{3} - 5

Evaluate

d \times d^{2} \times 226 - 5

Solution

More Steps

Evaluate

d \times d^{2} \times 226

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 226

Add the numbers

d^{3} \times 226

Use the commutative property to reorder the terms

226 d^{3}

226 d^{3} - 5

Show Solution

d = \frac{3 255380}{226}

Alternative Form

d \approx 0.280729

Evaluate

d \times d^{2} \times 226 - 5

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

d \times d^{2} \times 226 - 5 = 0

Multiply

More Steps

Multiply the terms

d \times d^{2} \times 226

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 226

Add the numbers

d^{3} \times 226

Use the commutative property to reorder the terms

226 d^{3}

226 d^{3} - 5 = 0

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

226 d^{3} = 0 + 5

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

226 d^{3} = 5

Divide both sides

\frac{226 d ^{3}}{226} = \frac{5}{226}

Divide the numbers

d^{3} = \frac{5}{226}

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

3 d^{3} = 3 \frac{5}{226}

Calculate

d = 3 \frac{5}{226}

Solution

More Steps

Evaluate

3 \frac{5}{226}

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

\frac{3 5}{3 226}

Multiply by the Conjugate

\frac{3 5 \times 3 22 6 ^{2}}{3 226 \times 3 22 6 ^{2}}

Simplify

\frac{3 5 \times 3 51076}{3 226 \times 3 22 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 351076

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

3 5 \times 51076

Calculate the product

3255380

\frac{3 255380}{3 226 \times 3 22 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

3226 \times 3 22 6^{2}

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

3 226 \times 22 6^{2}

Calculate the product

3 22 6^{3}

Reduce the index of the radical and exponent with 3

226

\frac{3 255380}{226}

d = \frac{3 255380}{226}

Alternative Form

d \approx 0.280729

Show Solution