Solve dd^2192-1 - ScanMath

Question

Simplify the expression

192 d^{3} - 1

Evaluate

d \times d^{2} \times 192 - 1

Solution

More Steps

Evaluate

d \times d^{2} \times 192

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 192

Add the numbers

d^{3} \times 192

Use the commutative property to reorder the terms

192 d^{3}

192 d^{3} - 1

Show Solution

d = \frac{3 9}{12}

Alternative Form

d \approx 0.17334

Evaluate

d \times d^{2} \times 192 - 1

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

d \times d^{2} \times 192 - 1 = 0

Multiply

More Steps

Multiply the terms

d \times d^{2} \times 192

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 192

Add the numbers

d^{3} \times 192

Use the commutative property to reorder the terms

192 d^{3}

192 d^{3} - 1 = 0

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

192 d^{3} = 0 + 1

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

192 d^{3} = 1

Divide both sides

\frac{192 d ^{3}}{192} = \frac{1}{192}

Divide the numbers

d^{3} = \frac{1}{192}

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

3 d^{3} = 3 \frac{1}{192}

Calculate

d = 3 \frac{1}{192}

Solution

More Steps

Evaluate

3 \frac{1}{192}

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

\frac{3 1}{3 192}

Simplify the radical expression

\frac{1}{3 192}

Simplify the radical expression

More Steps

Evaluate

3192

Write the expression as a product where the root of one of the factors can be evaluated

3 64 \times 3

Write the number in exponential form with the base of 4

3 4^{3} \times 3

The root of a product is equal to the product of the roots of each factor

3 4^{3} \times 33

Reduce the index of the radical and exponent with 3

433

\frac{1}{4 3 3}

Multiply by the Conjugate

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

Simplify

\frac{3 9}{4 3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

433 \times 3 3^{2}

Multiply the terms

4 \times 3

Multiply the terms

12

\frac{3 9}{12}

d = \frac{3 9}{12}

Alternative Form

d \approx 0.17334

Show Solution