Question
Calculate the value
85−8
Alternative Form
≈9.888544
Evaluate
204×2(1−204)×20
Cancel out the common factor 4
204×2(1−51)×20
Simplify the root
More Steps

Evaluate
51
To take a root of a fraction,take the root of the numerator and denominator separately
51
Simplify the radical expression
51
Multiply by the Conjugate
5×55
When a square root of an expression is multiplied by itself,the result is that expression
55
204×2(1−55)×20
Subtract the numbers
More Steps

Simplify
1−55
Reduce fractions to a common denominator
55−55
Write all numerators above the common denominator
55−5
204×2×55−5×20
Cancel out the common factor 4
51×2×55−5×20
Simplify the root
More Steps

Evaluate
51
To take a root of a fraction,take the root of the numerator and denominator separately
51
Simplify the radical expression
51
Multiply by the Conjugate
5×55
When a square root of an expression is multiplied by itself,the result is that expression
55
55×2×55−5×20
Multiply the terms
More Steps

Evaluate
55×2
Multiply the numbers
55×2
Multiply the numbers
525
525×55−5×20
Multiply the terms
More Steps

Evaluate
525×55−5
To multiply the fractions,multiply the numerators and denominators separately
5×525×(5−5)
Multiply the numbers
More Steps

Evaluate
25×(5−5)
Multiply the terms
(10−25)5
Apply the distributive property
105−25×5
Multiply the numbers
105−10
5×5105−10
Multiply the numbers
25105−10
Rewrite the expression
255(25−2)
Cancel out the common factor 5
525−2
525−2×20
Reduce the numbers
(25−2)×4
Apply the distributive property
25×4−2×4
Multiply the terms
85−2×4
Solution
85−8
Alternative Form
≈9.888544
Show Solution
