Question
Calculate the value
42
Alternative Form
≈0.353553
Evaluate
(21)3
Simplify the root
More Steps

Evaluate
21
To take a root of a fraction,take the root of the numerator and denominator separately
21
Simplify the radical expression
21
Multiply by the Conjugate
2×22
When a square root of an expression is multiplied by itself,the result is that expression
22
(22)3
To raise a fraction to a power,raise the numerator and denominator to that power
23(2)3
Evaluate the power
More Steps

Evaluate
(2)3
Use nam=nam to rewrite the expression
23
Rewrite the exponent as a sum where one of the addends is a multiple of the index
22+1
Use am+n=am×an to expand the expression
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
2322
Evaluate the power
822
Solution
42
Alternative Form
≈0.353553
Show Solution
