Solve under root / exponential math problems:
Question 1) Can you tell me what is the value of n?
Answer)
A) 1
B) 2
C) 3
D) 4
Answer: We can solve this question by using iteration.
Starting from n = 1, we keep on increasing n by 1 & keep checking the
answer. Hopefully we will be able to solve this question with few iterations.
(2^2)^0.5
When we use value of n = 1
We get,
(2)^0.5
Answer is not equal to 2
Hence it is incorrect
Now putting n = 2
(2^2)^0.5
(4)^0.5 = 2
Hence n = 2 gives the correct answer
L.H.S. = R.H.S. when n = 2
Correct Answer of root problem is B
Question 2) Find the exact value of x?
Answer)
x^(x)^0.5
Now I am going to put x = 2 & keep on increasing value
of x by 1 until I am able to find the correct answer.
if I put x = 2,
2(2)^0.5
It is not equal to 16
Now put x = 3 & solve,
3(3)^0.5
Again answer is not equal to 16
Now put x = 4 & solve:
4^4(0.5)
4^2
= 16
Hence when x = 4, L.H.S. = R.H.S. = 16
So answer of this exponential math puzzle is x = 4
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