Acalculator shows that 2 ≈ 1.414 and 3 ≈ 1.732. use linear interpolation to estimate 2.2 . hint: find the number that is 0.2 of the difference between 1.414 and 1.732 and add this number to the smaller number, 1.414. round your estimate to the nearest thousandth.

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

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

Thus using linear interpolation we find that 2.2 has estimate for square root

as 1.4776.

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explanation:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)