Question
Calculate the value
2410−80
Alternative Form
≈−4.105336
Evaluate
420×((32)−(25))
Multiply the numbers
420×(32−(25))
Multiply the numbers
420×(32−25)
Simplify the root
More Steps
Evaluate
20
Write the expression as a product where the root of one of the factors can be evaluated
4×5
Write the number in exponential form with the base of 2
22×5
The root of a product is equal to the product of the roots of each factor
22×5
Reduce the index of the radical and exponent with 2
25
4×25×(32−25)
Multiply the terms
85×(32−25)
Multiply the terms
More Steps
Evaluate
8(32−25)
Apply the distributive property
8×32−8×25
Multiply the terms
242−8×25
Multiply the terms
242−165
(242−165)5
Apply the distributive property
242×5−165×5
Multiply the terms
More Steps
Evaluate
2×5
The product of roots with the same index is equal to the root of the product
2×5
Calculate the product
10
2410−165×5
Solution
More Steps
Evaluate
−165×5
When a square root of an expression is multiplied by itself,the result is that expression
−16×5
Multiply the terms
−80
2410−80
Alternative Form
≈−4.105336
Show Solution