Solve 2a^5-62-13171

Question

Simplify the expression

2 a^{5} - 13233

Evaluate

2 a^{5} - 62 - 13171

Solution

2 a^{5} - 13233

Show Solution

a = \frac{5 211728}{2}

Alternative Form

a \approx 5.809325

Evaluate

2 a^{5} - 62 - 13171

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

2 a^{5} - 62 - 13171 = 0

Subtract the numbers

2 a^{5} - 13233 = 0

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

2 a^{5} = 0 + 13233

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

2 a^{5} = 13233

Divide both sides

\frac{2 a ^{5}}{2} = \frac{13233}{2}

Divide the numbers

a^{5} = \frac{13233}{2}

Take the 5 -th root on both sides of the equation

5 a^{5} = 5 \frac{13233}{2}

Calculate

a = 5 \frac{13233}{2}

Solution

More Steps

Evaluate

5 \frac{13233}{2}

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

\frac{5 13233}{5 2}

Multiply by the Conjugate

\frac{5 13233 \times 5 2 ^{4}}{5 2 \times 5 2 ^{4}}

Simplify

\frac{5 13233 \times 5 16}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

513233 \times 516

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

5 13233 \times 16

Calculate the product

5211728

\frac{5 211728}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 5 2^{4}

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

5 2 \times 2^{4}

Calculate the product

5 2^{5}

Reduce the index of the radical and exponent with 5

2

\frac{5 211728}{2}

a = \frac{5 211728}{2}

Alternative Form

a \approx 5.809325

Show Solution