Algebra
Calculus
Trigonometry
Matrix
Question
Calculate the value
1010−2
Alternative Form
≈0.858579
Evaluate
1−1002
Cancel out the common factor 2
1−501
Simplify the root
More Steps
Evaluate
501
To take a root of a fraction,take the root of the numerator and denominator separately
501
Simplify the radical expression
501
Simplify the radical expression
More Steps
Evaluate
50
Write the expression as a product where the root of one of the factors can be evaluated
25×2
Write the number in exponential form with the base of 5
52×2
The root of a product is equal to the product of the roots of each factor
52×2
Reduce the index of the radical and exponent with 2
52
521
Multiply by the Conjugate
52×22
Multiply the numbers
More Steps
Evaluate
52×2
When a square root of an expression is multiplied by itself,the result is that expression
5×2
Multiply the terms
10
102
1−102
Reduce fractions to a common denominator
1010−102
Solution
1010−2
Alternative Form
≈0.858579
Show Solution
