Question
Factor the expression
2(22x5−1)
Evaluate
44x5−2
Solution
2(22x5−1)
Show Solution

Find the roots
x=225224
Alternative Form
x≈0.538909
Evaluate
44x5−2
To find the roots of the expression,set the expression equal to 0
44x5−2=0
Move the constant to the right-hand side and change its sign
44x5=0+2
Removing 0 doesn't change the value,so remove it from the expression
44x5=2
Divide both sides
4444x5=442
Divide the numbers
x5=442
Cancel out the common factor 2
x5=221
Take the 5-th root on both sides of the equation
5x5=5221
Calculate
x=5221
Solution
More Steps

Evaluate
5221
To take a root of a fraction,take the root of the numerator and denominator separately
52251
Simplify the radical expression
5221
Multiply by the Conjugate
522×52245224
Multiply the numbers
More Steps

Evaluate
522×5224
The product of roots with the same index is equal to the root of the product
522×224
Calculate the product
5225
Reduce the index of the radical and exponent with 5
22
225224
x=225224
Alternative Form
x≈0.538909
Show Solution
