Given that \(\sqrt{2} = 1.414\), find without using tables, the value of \(\frac{1}{\sqrt{2}}\)
A
0.141
B
0.301
C
0.667
D
0.707
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{1}{\sqrt{2}}\) = \(\frac{1}{\sqrt{2}}\) x \(\frac{\sqrt{2}}{\sqrt{2}}\)
= \(\frac{\sqrt{2}}{2}\)
= \(\frac{1.414}{2}\)
= 0.707
Source: Myschool Past Questions Archive (Record #30995)