Question
Simplify the expression
u4−224
Evaluate
u4×1−4−220
Any expression multiplied by 1 remains the same
u4−4−220
Solution
u4−224
Show Solution

Find the roots
u1=−2414,u2=2414
Alternative Form
u1≈−3.868673,u2≈3.868673
Evaluate
u4×1−4−220
To find the roots of the expression,set the expression equal to 0
u4×1−4−220=0
Any expression multiplied by 1 remains the same
u4−4−220=0
Subtract the numbers
u4−224=0
Move the constant to the right-hand side and change its sign
u4=0+224
Removing 0 doesn't change the value,so remove it from the expression
u4=224
Take the root of both sides of the equation and remember to use both positive and negative roots
u=±4224
Simplify the expression
More Steps

Evaluate
4224
Write the expression as a product where the root of one of the factors can be evaluated
416×14
Write the number in exponential form with the base of 2
424×14
The root of a product is equal to the product of the roots of each factor
424×414
Reduce the index of the radical and exponent with 4
2414
u=±2414
Separate the equation into 2 possible cases
u=2414u=−2414
Solution
u1=−2414,u2=2414
Alternative Form
u1≈−3.868673,u2≈3.868673
Show Solution
