Answer:
\(\frac{3}{16}=0.1875\)
Step-by-step explanation:
We have been given a fraction \(\frac{9}{256}\). We are asked to find the square root of given number.
Let us take square root of our given fraction.
\(\sqrt{\frac{9}{256}}=\frac{\sqrt{9}}{\sqrt{256}}\)
\(\frac{\sqrt{9}}{\sqrt{256}}=\frac{\sqrt{3^2}}{\sqrt{16^2}}\)
Using exponent property \(\sqrt[n]{x^n} =x\), we will get:
\(\frac{\sqrt{3^2}}{\sqrt{16^2}}=\frac{3}{16}\)
\(\frac{3}{16}=0.1875\)
Therefore, square root of our given number is \(\frac{3}{16}=0.1875\).
