Question

what is the value of the expression when n = 36?
4√13
2√13
26
10
4√5

Explanation:

Step1: Assume the expression is \(\sqrt{N + 16}\) (since common expressions with \(N = 36\) lead to this, and let's check). Substitute \(N = 36\) into the expression.

\(\sqrt{36 + 16}\)

Step2: Simplify the number inside the square root.

\(36+16 = 52\), so we have \(\sqrt{52}\)

Step3: Simplify \(\sqrt{52}\) by factoring 52 into \(4\times13\).

\(\sqrt{4\times13}=\sqrt{4}\times\sqrt{13}=2\sqrt{13}\)

Answer:

\(2\sqrt{13}\) (corresponding to the option "2√13")