Question
Calculate the value
108412
Alternative Form
≈201.01065
Evaluate
4(83×383×3)×3
Remove the parentheses
483×383×3×3
Multiply the terms
483×3243×3
Simplify the root
More Steps

Evaluate
243
Rewrite the expression
24×3
Simplify the root
24108
483×3×24108×3
Multiply
More Steps

Evaluate
83×3×24108×3
Multiply the terms
More Steps

Evaluate
8×3×2×3
Multiply the terms
24×2×3
Multiply the terms
48×3
Multiply the numbers
144
1443×4108
Multiply the terms
More Steps

Evaluate
3×4108
Use na=mnam to expand the expression
432×4108
The product of roots with the same index is equal to the root of the product
432×108
Calculate the product
4972
Write the expression as a product where the root of one of the factors can be evaluated
481×12
Write the number in exponential form with the base of 3
434×12
The root of a product is equal to the product of the roots of each factor
434×412
Reduce the index of the radical and exponent with 4
3412
144×3412
4144×3412
Reduce the fraction
36×3412
Solution
108412
Alternative Form
≈201.01065
Show Solution
