Question
Simplify the expression
311r4−8
Evaluate
r4×311−8
Solution
311r4−8
Show Solution

Find the roots
r1=−31146223,r2=31146223
Alternative Form
r1≈−0.400481,r2≈0.400481
Evaluate
r4×311−8
To find the roots of the expression,set the expression equal to 0
r4×311−8=0
Use the commutative property to reorder the terms
311r4−8=0
Move the constant to the right-hand side and change its sign
311r4=0+8
Removing 0 doesn't change the value,so remove it from the expression
311r4=8
Divide both sides
311311r4=3118
Divide the numbers
r4=3118
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±43118
Simplify the expression
More Steps

Evaluate
43118
To take a root of a fraction,take the root of the numerator and denominator separately
431148
Multiply by the Conjugate
4311×4311348×43113
Multiply the numbers
More Steps

Evaluate
48×43113
The product of roots with the same index is equal to the root of the product
48×3113
Calculate the product
46223
4311×4311346223
Multiply the numbers
More Steps

Evaluate
4311×43113
The product of roots with the same index is equal to the root of the product
4311×3113
Calculate the product
43114
Reduce the index of the radical and exponent with 4
311
31146223
r=±31146223
Separate the equation into 2 possible cases
r=31146223r=−31146223
Solution
r1=−31146223,r2=31146223
Alternative Form
r1≈−0.400481,r2≈0.400481
Show Solution
