To find the value of [tex]\(\sqrt{\frac{14}{4}}\)[/tex], follow these steps:
1. Simplify the fraction inside the square root:
[tex]\[
\frac{14}{4}
\][/tex]
Divide the numerator (14) by the denominator (4):
[tex]\[
\frac{14}{4} = 3.5
\][/tex]
2. Compute the square root of the simplified fraction:
[tex]\[
\sqrt{3.5}
\][/tex]
3. Find the approximate value of the square root:
The square root of 3.5 is approximately [tex]\(1.8708286933869707\)[/tex].
So, the complete solution involves simplifying the fraction to get 3.5 and then finding the square root of this value, which is approximately [tex]\(1.8708286933869707\)[/tex]. Thus, we have:
- [tex]\(\frac{14}{4} = 3.5\)[/tex]
- [tex]\(\sqrt{3.5} \approx 1.8708286933869707\)[/tex]
Therefore, the value of [tex]\(\sqrt{\frac{14}{4}}\)[/tex] is approximately [tex]\(1.8708286933869707\)[/tex].
