Question

Without using a calculator, choose the statement that best describes the value of \sqrt{46}
46
​
square root of, 46, end square root.

Answer 1

Answer:

Hi ! Well now this is one way that I do approximations of values of roots,

According to the preliminary Taylor expansion,

f(x+h) = f(x) +- h*f'(x)

So, Here,

f(x) = √x

f'(x) = 1/2√x

So,

√46 = √49-3/2*7 = 7-3/14 You can calculate this now

hope this helps you! ｡◕‿◕｡

Answer 2

The result can be shown in multiple forms.

Exact Form:

√

46

Decimal Form:

6.78232998

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