Solve 8f^394-142 - ScanMath

Question

Simplify the expression

752 f^{3} - 142

Evaluate

8 f^{3} \times 94 - 142

Solution

752 f^{3} - 142

Show Solution

2 (376 f^{3} - 71)

Evaluate

8 f^{3} \times 94 - 142

Multiply the terms

752 f^{3} - 142

Solution

2 (376 f^{3} - 71)

Show Solution

f = \frac{3 156839}{94}

Alternative Form

f \approx 0.573707

Evaluate

8 f^{3} \times 94 - 142

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

8 f^{3} \times 94 - 142 = 0

Multiply the terms

752 f^{3} - 142 = 0

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

752 f^{3} = 0 + 142

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

752 f^{3} = 142

Divide both sides

\frac{752 f ^{3}}{752} = \frac{142}{752}

Divide the numbers

f^{3} = \frac{142}{752}

Cancel out the common factor 2

f^{3} = \frac{71}{376}

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

3 f^{3} = 3 \frac{71}{376}

Calculate

f = 3 \frac{71}{376}

Solution

More Steps

Evaluate

3 \frac{71}{376}

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

\frac{3 71}{3 376}

Simplify the radical expression

More Steps

Evaluate

3376

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

3 8 \times 47

Write the number in exponential form with the base of 2

3 2^{3} \times 47

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

3 2^{3} \times 347

Reduce the index of the radical and exponent with 3

2347

\frac{3 71}{2 3 47}

Multiply by the Conjugate

\frac{3 71 \times 3 4 7 ^{2}}{2 3 47 \times 3 4 7 ^{2}}

Simplify

\frac{3 71 \times 3 2209}{2 3 47 \times 3 4 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

371 \times 32209

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

3 71 \times 2209

Calculate the product

3156839

\frac{3 156839}{2 3 47 \times 3 4 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

2347 \times 3 4 7^{2}

Multiply the terms

2 \times 47

Multiply the terms

94

\frac{3 156839}{94}

f = \frac{3 156839}{94}

Alternative Form

f \approx 0.573707

Show Solution