Solve r^4221-8 - ScanMath

Question

Simplify the expression

221 r^{4} - 8

Evaluate

r^{4} \times 221 - 8

Solution

221 r^{4} - 8

Show Solution

r_{1} = - \frac{4 44 2 ^{3}}{221}, r_{2} = \frac{4 44 2 ^{3}}{221}

Alternative Form

r_{1} \approx - 0.436189, r_{2} \approx 0.436189

Evaluate

r^{4} \times 221 - 8

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

r^{4} \times 221 - 8 = 0

Use the commutative property to reorder the terms

221 r^{4} - 8 = 0

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

221 r^{4} = 0 + 8

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

221 r^{4} = 8

Divide both sides

\frac{221 r ^{4}}{221} = \frac{8}{221}

Divide the numbers

r^{4} = \frac{8}{221}

Take the root of both sides of the equation and remember to use both positive and negative roots

r = \pm 4 \frac{8}{221}

Simplify the expression

More Steps

Evaluate

4 \frac{8}{221}

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

\frac{4 8}{4 221}

Multiply by the Conjugate

\frac{4 8 \times 4 22 1 ^{3}}{4 221 \times 4 22 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

48 \times 4 22 1^{3}

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

4 8 \times 22 1^{3}

Calculate the product

4 44 2^{3}

\frac{4 44 2 ^{3}}{4 221 \times 4 22 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

4221 \times 4 22 1^{3}

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

4 221 \times 22 1^{3}

Calculate the product

4 22 1^{4}

Reduce the index of the radical and exponent with 4

221

\frac{4 44 2 ^{3}}{221}

r = \pm \frac{4 44 2 ^{3}}{221}

Separate the equation into 2 possible cases

r = \frac{4 44 2 ^{3}}{221} r = - \frac{4 44 2 ^{3}}{221}

Solution

r_{1} = - \frac{4 44 2 ^{3}}{221}, r_{2} = \frac{4 44 2 ^{3}}{221}

Alternative Form

r_{1} \approx - 0.436189, r_{2} \approx 0.436189

Show Solution