Question
Calculate the value
arccos(345)
Alternative Form
≈0.54042
Evaluate
arccos(85×4050)
Simplify the root
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
arccos(85×21050)
Solution
More Steps

Evaluate
85×21050
Multiply the terms
More Steps

Evaluate
85×10
The product of roots with the same index is equal to the root of the product
85×10
Calculate the product
850
Write the expression as a product where the root of one of the factors can be evaluated
25×34
Write the number in exponential form with the base of 5
52×34
The root of a product is equal to the product of the roots of each factor
52×34
Reduce the index of the radical and exponent with 2
534
534×250
Reduce the fraction
34×210
Reduce the fraction
345
arccos(345)
Alternative Form
≈0.54042
Show Solution
