Solve n^2 n -240=0

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Type your math problem... n^2 n -240=0

Question

Solve the equation

n = 2330

Alternative Form

n \approx 6.214465

Evaluate

n^{2} \times n - 240 = 0

Multiply the terms

More Steps

Evaluate

n^{2} \times n

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

n^{2 + 1}

Add the numbers

n^{3}

n^{3} - 240 = 0

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

n^{3} = 0 + 240

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

n^{3} = 240

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

3 n^{3} = 3240

Calculate

n = 3240

Solution

More Steps

Evaluate

3240

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

3 8 \times 30

Write the number in exponential form with the base of 2

3 2^{3} \times 30

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

3 2^{3} \times 330

Reduce the index of the radical and exponent with 3

2330

n = 2330

Alternative Form

n \approx 6.214465

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