Solve h^3146-4 - ScanMath

Question

h^{3} \times 146 - 4

Simplify the expression

146 h^{3} - 4

Evaluate

h^{3} \times 146 - 4

Solution

146 h^{3} - 4

Show Solution

2 (73 h^{3} - 2)

Evaluate

h^{3} \times 146 - 4

Use the commutative property to reorder the terms

146 h^{3} - 4

Solution

2 (73 h^{3} - 2)

Show Solution

h = \frac{3 10658}{73}

Alternative Form

h \approx 0.301464

Evaluate

h^{3} \times 146 - 4

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

h^{3} \times 146 - 4 = 0

Use the commutative property to reorder the terms

146 h^{3} - 4 = 0

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

146 h^{3} = 0 + 4

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

146 h^{3} = 4

Divide both sides

\frac{146 h ^{3}}{146} = \frac{4}{146}

Divide the numbers

h^{3} = \frac{4}{146}

Cancel out the common factor 2

h^{3} = \frac{2}{73}

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

3 h^{3} = 3 \frac{2}{73}

Calculate

h = 3 \frac{2}{73}

Solution

More Steps

Evaluate

3 \frac{2}{73}

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

\frac{3 2}{3 73}

Multiply by the Conjugate

\frac{3 2 \times 3 7 3 ^{2}}{3 73 \times 3 7 3 ^{2}}

Simplify

\frac{3 2 \times 3 5329}{3 73 \times 3 7 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 35329

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

3 2 \times 5329

Calculate the product

310658

\frac{3 10658}{3 73 \times 3 7 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

373 \times 3 7 3^{2}

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

3 73 \times 7 3^{2}

Calculate the product

3 7 3^{3}

Reduce the index of the radical and exponent with 3

73

\frac{3 10658}{73}

h = \frac{3 10658}{73}

Alternative Form

h \approx 0.301464

Show Solution