Solve 8 g^370-60 - ScanMath

Question

Simplify the expression

560 g^{3} - 60

Evaluate

8 g^{3} \times 70 - 60

Solution

560 g^{3} - 60

Show Solution

20 (28 g^{3} - 3)

Evaluate

8 g^{3} \times 70 - 60

Multiply the terms

560 g^{3} - 60

Solution

20 (28 g^{3} - 3)

Show Solution

g = \frac{3 294}{14}

Alternative Form

g \approx 0.474957

Evaluate

8 g^{3} \times 70 - 60

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

8 g^{3} \times 70 - 60 = 0

Multiply the terms

560 g^{3} - 60 = 0

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

560 g^{3} = 0 + 60

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

560 g^{3} = 60

Divide both sides

\frac{560 g ^{3}}{560} = \frac{60}{560}

Divide the numbers

g^{3} = \frac{60}{560}

Cancel out the common factor 20

g^{3} = \frac{3}{28}

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

3 g^{3} = 3 \frac{3}{28}

Calculate

g = 3 \frac{3}{28}

Solution

More Steps

Evaluate

3 \frac{3}{28}

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

\frac{3 3}{3 28}

Multiply by the Conjugate

\frac{3 3 \times 3 2 8 ^{2}}{3 28 \times 3 2 8 ^{2}}

Simplify

\frac{3 3 \times 2 3 98}{3 28 \times 3 2 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 2398

Multiply the terms

3294 \times 2

Use the commutative property to reorder the terms

23294

\frac{2 3 294}{3 28 \times 3 2 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

328 \times 3 2 8^{2}

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

3 28 \times 2 8^{2}

Calculate the product

3 2 8^{3}

Reduce the index of the radical and exponent with 3

28

\frac{2 3 294}{28}

Cancel out the common factor 2

\frac{3 294}{14}

g = \frac{3 294}{14}

Alternative Form

g \approx 0.474957

Show Solution