Solve h^3975-1 - ScanMath

Question

Simplify the expression

Solution

975 h^{3} - 1

Evaluate

h^{3} \times 975 - 1

Solution

975 h^{3} - 1

Show Solution

Find the roots of the algebra expression

h = \frac{3 97 5 ^{2}}{975}

Alternative Form

h \approx 0.100847

Evaluate

h^{3} \times 975 - 1

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

h^{3} \times 975 - 1 = 0

Use the commutative property to reorder the terms

975 h^{3} - 1 = 0

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

975 h^{3} = 0 + 1

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

975 h^{3} = 1

Divide both sides

\frac{975 h ^{3}}{975} = \frac{1}{975}

Divide the numbers

h^{3} = \frac{1}{975}

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

3 h^{3} = 3 \frac{1}{975}

Calculate

h = 3 \frac{1}{975}

Solution

More Steps

Evaluate

3 \frac{1}{975}

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

\frac{3 1}{3 975}

Simplify the radical expression

\frac{1}{3 975}

Multiply by the Conjugate

\frac{3 97 5 ^{2}}{3 975 \times 3 97 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

3975 \times 3 97 5^{2}

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

3 975 \times 97 5^{2}

Calculate the product

3 97 5^{3}

Reduce the index of the radical and exponent with 3

975

\frac{3 97 5 ^{2}}{975}

h = \frac{3 97 5 ^{2}}{975}

Alternative Form

h \approx 0.100847

Show Solution