Question

if
$\sqrt{9 - (n - 2) ^{2} } \: \:$
is a REAL NUMBER then number of integral value of n is :
( STEP BY STEP EXPLANATION PLEASE )

(a) 3
(b) 5
(c) 7
(d) Infinitely many​

Answer 1

Answer:

n can be 3 or 5 if we are talking about real numbers.

However, n can only be 5 if we are talking about rational numbers.

Step-by-step explanation:

From the function we can say that value of (n-2)^2 can have a maximum value of 9 because any value greater than 9 will result in a negative value inside the square root.

When n =5, we get 0, which is a real number and a rational number as well.

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