Solve t^38-36 - ScanMath

Question

Simplify the expression

8 t^{3} - 36

Evaluate

t^{3} \times 8 - 36

Solution

8 t^{3} - 36

Show Solution

4 (2 t^{3} - 9)

Evaluate

t^{3} \times 8 - 36

Use the commutative property to reorder the terms

8 t^{3} - 36

Solution

4 (2 t^{3} - 9)

Show Solution

t = \frac{3 36}{2}

Alternative Form

t \approx 1.650964

Evaluate

t^{3} \times 8 - 36

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

t^{3} \times 8 - 36 = 0

Use the commutative property to reorder the terms

8 t^{3} - 36 = 0

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

8 t^{3} = 0 + 36

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

8 t^{3} = 36

Divide both sides

\frac{8 t ^{3}}{8} = \frac{36}{8}

Divide the numbers

t^{3} = \frac{36}{8}

Cancel out the common factor 4

t^{3} = \frac{9}{2}

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

3 t^{3} = 3 \frac{9}{2}

Calculate

t = 3 \frac{9}{2}

Solution

More Steps

Evaluate

3 \frac{9}{2}

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

\frac{3 9}{3 2}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

39 \times 34

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

3 9 \times 4

Calculate the product

336

\frac{3 36}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

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

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 36}{2}

t = \frac{3 36}{2}

Alternative Form

t \approx 1.650964

Show Solution