Solve 3212 n^2n-3

Question

Simplify the expression

3212 n^{3} - 3

Evaluate

3212 n^{2} \times n - 3

Solution

More Steps

Evaluate

3212 n^{2} \times n

Multiply the terms with the same base by adding their exponents

3212 n^{2 + 1}

Add the numbers

3212 n^{3}

3212 n^{3} - 3

Show Solution

n = \frac{3 3 \times 321 2 ^{2}}{3212}

Alternative Form

n \approx 0.09775

Evaluate

3212 n^{2} \times n - 3

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

3212 n^{2} \times n - 3 = 0

Multiply

More Steps

Multiply the terms

3212 n^{2} \times n

Multiply the terms with the same base by adding their exponents

3212 n^{2 + 1}

Add the numbers

3212 n^{3}

3212 n^{3} - 3 = 0

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

3212 n^{3} = 0 + 3

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

3212 n^{3} = 3

Divide both sides

\frac{3212 n ^{3}}{3212} = \frac{3}{3212}

Divide the numbers

n^{3} = \frac{3}{3212}

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

3 n^{3} = 3 \frac{3}{3212}

Calculate

n = 3 \frac{3}{3212}

Solution

More Steps

Evaluate

3 \frac{3}{3212}

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

\frac{3 3}{3 3212}

Multiply by the Conjugate

\frac{3 3 \times 3 321 2 ^{2}}{3 3212 \times 3 321 2 ^{2}}

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

\frac{3 3 \times 321 2 ^{2}}{3 3212 \times 3 321 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

33212 \times 3 321 2^{2}

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

3 3212 \times 321 2^{2}

Calculate the product

3 321 2^{3}

Reduce the index of the radical and exponent with 3

3212

\frac{3 3 \times 321 2 ^{2}}{3212}

n = \frac{3 3 \times 321 2 ^{2}}{3212}

Alternative Form

n \approx 0.09775

Show Solution