Final Answer: [tex]4.69[/tex]
Steps/Reasons/Explanation:
Step 1: You will need to find the perfect square root of a number that is less than [tex]22[/tex]. So [tex]4^{2}[/tex] is [tex]16[/tex].
Step 2: Write down the square root of [tex]16 = 4[/tex].
Step 3: Solve [tex]\frac{22 - 16}{4 * 2}[/tex] which is [tex]0.75[/tex].
Step 4: Add [tex]4 + 0.75 = 4.75[/tex], so [tex]\sqrt{22}[/tex] is approximately ≈[tex]4.7[/tex].
~I hope I helped you :)~