Algebra
Calculus
Trigonometry
Matrix
Question
Calculate the value
502
Alternative Form
≈70.710678
Evaluate
500011
Simplify the root
More Steps
Evaluate
50001
To take a root of a fraction,take the root of the numerator and denominator separately
50001
Simplify the radical expression
50001
Simplify the radical expression
More Steps
Evaluate
5000
Write the expression as a product where the root of one of the factors can be evaluated
2500×2
Write the number in exponential form with the base of 50
502×2
The root of a product is equal to the product of the roots of each factor
502×2
Reduce the index of the radical and exponent with 2
502
5021
Multiply by the Conjugate
502×22
Multiply the numbers
More Steps
Evaluate
502×2
When a square root of an expression is multiplied by itself,the result is that expression
50×2
Multiply the terms
100
1002
10021
Multiply by the reciprocal
2100
Multiply by the Conjugate
2×21002
When a square root of an expression is multiplied by itself,the result is that expression
21002
Solution
502
Alternative Form
≈70.710678
Show Solution
