Solve a^350-11002025

Question

Simplify the expression

50 a^{3} - 11002025

Evaluate

a^{3} \times 50 - 11002025

Solution

50 a^{3} - 11002025

Show Solution

25 (2 a^{3} - 440081)

Evaluate

a^{3} \times 50 - 11002025

Use the commutative property to reorder the terms

50 a^{3} - 11002025

Solution

25 (2 a^{3} - 440081)

Show Solution

a = \frac{3 1760324}{2}

Alternative Form

a \approx 60.371812

Evaluate

a^{3} \times 50 - 11002025

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

a^{3} \times 50 - 11002025 = 0

Use the commutative property to reorder the terms

50 a^{3} - 11002025 = 0

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

50 a^{3} = 0 + 11002025

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

50 a^{3} = 11002025

Divide both sides

\frac{50 a ^{3}}{50} = \frac{11002025}{50}

Divide the numbers

a^{3} = \frac{11002025}{50}

Cancel out the common factor 25

a^{3} = \frac{440081}{2}

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

3 a^{3} = 3 \frac{440081}{2}

Calculate

a = 3 \frac{440081}{2}

Solution

More Steps

Evaluate

3 \frac{440081}{2}

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

\frac{3 440081}{3 2}

Multiply by the Conjugate

\frac{3 440081 \times 3 2 ^{2}}{3 2 \times 3 2 ^{2}}

Simplify

\frac{3 440081 \times 3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3440081 \times 34

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

3 440081 \times 4

Calculate the product

31760324

\frac{3 1760324}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

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

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 1760324}{2}

a = \frac{3 1760324}{2}

Alternative Form

a \approx 60.371812

Show Solution