Solve h^3706-25 - ScanMath

Question

Simplify the expression

706 h^{3} - 25

Evaluate

h^{3} \times 706 - 25

Solution

706 h^{3} - 25

Show Solution

h = \frac{3 353 0 ^{2}}{706}

Alternative Form

h \approx 0.328381

Evaluate

h^{3} \times 706 - 25

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

h^{3} \times 706 - 25 = 0

Use the commutative property to reorder the terms

706 h^{3} - 25 = 0

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

706 h^{3} = 0 + 25

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

706 h^{3} = 25

Divide both sides

\frac{706 h ^{3}}{706} = \frac{25}{706}

Divide the numbers

h^{3} = \frac{25}{706}

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

3 h^{3} = 3 \frac{25}{706}

Calculate

h = 3 \frac{25}{706}

Solution

More Steps

Evaluate

3 \frac{25}{706}

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

\frac{3 25}{3 706}

Multiply by the Conjugate

\frac{3 25 \times 3 70 6 ^{2}}{3 706 \times 3 70 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

325 \times 3 70 6^{2}

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

3 25 \times 70 6^{2}

Calculate the product

3 353 0^{2}

\frac{3 353 0 ^{2}}{3 706 \times 3 70 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

3706 \times 3 70 6^{2}

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

3 706 \times 70 6^{2}

Calculate the product

3 70 6^{3}

Reduce the index of the radical and exponent with 3

706

\frac{3 353 0 ^{2}}{706}

h = \frac{3 353 0 ^{2}}{706}

Alternative Form

h \approx 0.328381

Show Solution