Answer:
Step-by-step explanation:
Given that a calculator shows that 2 ≈ 1.414 and 3 ≈ 1.732.
i.e. using calculators square root of irrational numbers are being found out.
We have [tex]\sqrt{2} =1.414\\\sqrt{3} =1.732[/tex]
We have to find square root of 2.2
2.2 = 2+0.2
When 2 increases to 3 square root increases by 0.318
In the same rate if increase is there if 2 increases to 0.2 the increase would be
0.2*0.318 = 0.0636
Hence we can say that
[tex]\sqrt{2.02} =1.414+0.0636\\= 1.4776[/tex]
Thus using linear interpolation we find that 2.2 has estimate for square root
as 1.4776.
