Solve n^31800-1 - ScanMath

Question

Simplify the expression

1800 n^{3} - 1

Evaluate

n^{3} \times 1800 - 1

Solution

1800 n^{3} - 1

Show Solution

n = \frac{3 15}{30}

Alternative Form

n \approx 0.082207

Evaluate

n^{3} \times 1800 - 1

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

n^{3} \times 1800 - 1 = 0

Use the commutative property to reorder the terms

1800 n^{3} - 1 = 0

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

1800 n^{3} = 0 + 1

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

1800 n^{3} = 1

Divide both sides

\frac{1800 n ^{3}}{1800} = \frac{1}{1800}

Divide the numbers

n^{3} = \frac{1}{1800}

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

3 n^{3} = 3 \frac{1}{1800}

Calculate

n = 3 \frac{1}{1800}

Solution

More Steps

Evaluate

3 \frac{1}{1800}

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

\frac{3 1}{3 1800}

Simplify the radical expression

\frac{1}{3 1800}

Simplify the radical expression

More Steps

Evaluate

31800

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

3 8 \times 225

Write the number in exponential form with the base of 2

3 2^{3} \times 225

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

3 2^{3} \times 3225

Reduce the index of the radical and exponent with 3

23225

\frac{1}{2 3 225}

Multiply by the Conjugate

\frac{3 22 5 ^{2}}{2 3 225 \times 3 22 5 ^{2}}

Simplify

\frac{15 3 15}{2 3 225 \times 3 22 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

23225 \times 3 22 5^{2}

Multiply the terms

2 \times 1 5^{2}

Multiply the terms

450

\frac{15 3 15}{450}

Cancel out the common factor 15

\frac{3 15}{30}

n = \frac{3 15}{30}

Alternative Form

n \approx 0.082207

Show Solution