Question
Calculate the value
230
Alternative Form
≈10.954451
Evaluate
403×40
Simplify the root
More Steps

Evaluate
403
To take a root of a fraction,take the root of the numerator and denominator separately
403
Simplify the radical expression
More Steps

Evaluate
40
Write the expression as a product where the root of one of the factors can be evaluated
4×10
Write the number in exponential form with the base of 2
22×10
The root of a product is equal to the product of the roots of each factor
22×10
Reduce the index of the radical and exponent with 2
210
2103
Multiply by the Conjugate
210×103×10
Multiply the numbers
More Steps

Evaluate
3×10
The product of roots with the same index is equal to the root of the product
3×10
Calculate the product
30
210×1030
Multiply the numbers
More Steps

Evaluate
210×10
When a square root of an expression is multiplied by itself,the result is that expression
2×10
Multiply the terms
20
2030
2030×40
Reduce the numbers
30×2
Solution
230
Alternative Form
≈10.954451
Show Solution
