Question
Calculate the value
22
Alternative Form
≈2.828427
Evaluate
(28)−8
Simplify the root
More Steps

Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
(2×22)−8
Multiply the terms
42−8
Simplify the root
More Steps

Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
42−22
Collect like terms by calculating the sum or difference of their coefficients
(4−2)2
Solution
22
Alternative Form
≈2.828427
Show Solution
