If square root of a is an integer and ab2= 100, how many values are possible for integer b ?
mithilarajakumar8:
The answer is given as 8
Answers
Answered by
4
Answer: 10/√x
Step-by-step explanation:
a^2 = x
X is an integer
(ab)^2 = 100
a^2 * b^2 = 100
x * b^2 = 100
b^2 = 100/x
b = √100/√x
b = 10/√x
The answer options are 2, 3, 4, 6, 8
It is a^(1/2)
4 is the answer
Can u explain?
Please
let root a =x....... given:ab^2=100.......square rooting both sides.......give=root a×b=10......x×b=10......b=10/x......possibilities are 1,2,5,10
Thank you
Answered by
4
Answer:
wkt, root a is an integer, ab2= 100, square root on both sides gives root a* b= 10 choose integer value for a as 1, 4, 16, 25, 100, 400, 2500, 10000 and finally possible integer values for b are totally 8
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