If \(\sqrt{1369}\) + \(\sqrt{0.0615+X}\) , =37.5, then x is equal

1.	If \(\sqrt{1369}\) + \(\sqrt{0.0615+X}\) , =37.5, then x is equal to (a) 10–1 (b) 10–2 (c) 10–3 (d) 10
Answer» (c) 10^-3 \(\sqrt{1369} +\sqrt{0.0615+X}\)= 37.25 \(\Rightarrow\) \(\sqrt{0.0615+X}\) = 37.25 - \(\sqrt{1369}\) = 37.25 - 37 = 0.25 \(\Rightarrow\) 0.0615 + x = (0.25)² = 0.0625 \(\Rightarrow\) x = 0.0625 - 0.0615 = 0.001 = \(\frac{1}{10^3}\) = 10^-3.

If \(\sqrt{1369}\) + \(\sqrt{0.0615+X}\) , =37.5, then x is equal to (a) 10–1 (b) 10–2 (c) 10–3 (d) 10

Answer»

(c) 10^-3

\(\sqrt{1369} +\sqrt{0.0615+X}\)= 37.25

\(\Rightarrow\) \(\sqrt{0.0615+X}\) = 37.25 - \(\sqrt{1369}\)

= 37.25 - 37 = 0.25

\(\Rightarrow\) 0.0615 + x = (0.25)² = 0.0625

\(\Rightarrow\) x = 0.0625 - 0.0615 = 0.001 = \(\frac{1}{10^3}\) = 10^-3.