Solve 2d^3013-2 - ScanMath

Question

Simplify the expression

26 d^{3} - 2

Evaluate

2 d^{3} \times 13 - 2

Solution

26 d^{3} - 2

Show Solution

2 (13 d^{3} - 1)

Evaluate

2 d^{3} \times 13 - 2

Multiply the terms

26 d^{3} - 2

Solution

2 (13 d^{3} - 1)

Show Solution

d = \frac{3 169}{13}

Alternative Form

d \approx 0.42529

Evaluate

2 d^{3} \times 13 - 2

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

2 d^{3} \times 13 - 2 = 0

Multiply the terms

26 d^{3} - 2 = 0

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

26 d^{3} = 0 + 2

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

26 d^{3} = 2

Divide both sides

\frac{26 d ^{3}}{26} = \frac{2}{26}

Divide the numbers

d^{3} = \frac{2}{26}

Cancel out the common factor 2

d^{3} = \frac{1}{13}

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

3 d^{3} = 3 \frac{1}{13}

Calculate

d = 3 \frac{1}{13}

Solution

More Steps

Evaluate

3 \frac{1}{13}

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

\frac{3 1}{3 13}

Simplify the radical expression

\frac{1}{3 13}

Multiply by the Conjugate

\frac{3 1 3 ^{2}}{3 13 \times 3 1 3 ^{2}}

Simplify

\frac{3 169}{3 13 \times 3 1 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

313 \times 3 1 3^{2}

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

3 13 \times 1 3^{2}

Calculate the product

3 1 3^{3}

Reduce the index of the radical and exponent with 3

13

\frac{3 169}{13}

d = \frac{3 169}{13}

Alternative Form

d \approx 0.42529

Show Solution