Question
Simplify the expression
224r4−16
Evaluate
r4×224−16
Solution
224r4−16
Show Solution

Factor the expression
16(14r4−1)
Evaluate
r4×224−16
Use the commutative property to reorder the terms
224r4−16
Solution
16(14r4−1)
Show Solution

Find the roots
r1=−1442744,r2=1442744
Alternative Form
r1≈−0.516973,r2≈0.516973
Evaluate
r4×224−16
To find the roots of the expression,set the expression equal to 0
r4×224−16=0
Use the commutative property to reorder the terms
224r4−16=0
Move the constant to the right-hand side and change its sign
224r4=0+16
Removing 0 doesn't change the value,so remove it from the expression
224r4=16
Divide both sides
224224r4=22416
Divide the numbers
r4=22416
Cancel out the common factor 16
r4=141
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±4141
Simplify the expression
More Steps

Evaluate
4141
To take a root of a fraction,take the root of the numerator and denominator separately
41441
Simplify the radical expression
4141
Multiply by the Conjugate
414×41434143
Simplify
414×414342744
Multiply the numbers
More Steps

Evaluate
414×4143
The product of roots with the same index is equal to the root of the product
414×143
Calculate the product
4144
Reduce the index of the radical and exponent with 4
14
1442744
r=±1442744
Separate the equation into 2 possible cases
r=1442744r=−1442744
Solution
r1=−1442744,r2=1442744
Alternative Form
r1≈−0.516973,r2≈0.516973
Show Solution
