find the square root of 1+(0.046)
You asked:
Evaluate the expression: \(\sqrt{1 + 0.046}\)
MathBot Answer:
\[\sqrt{1 + 0.046} = \frac{\sqrt{2615}}{50} \approx 1.02274141404364769177035343901852\]
\[\begin{aligned}\sqrt{1 + 0.046}& = \sqrt{1 + \frac{46}{1000}}\\& = \sqrt{1 + \frac{23}{500}}\\& = \sqrt{\frac{523}{500}}\\& = \frac{1}{50} \cdot \sqrt{2615}\end{aligned}\]