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