Question

find the square root of
1) 361/36
2) 0.3481

Answer 1

 A)

Evaluate square root of 361/36

√3613636136

Rewrite using the quotient rule for radicals.

√361√3636136

Simplify the numerator.



Rewrite 361361 as 192192.

√192√3619236

Pull terms out from under the radical, assuming positive real numbers.

19√361936

Simplify the denominator.


Rewrite.

19(36)1219(36)12

Remove parentheses around 3636.

193612193612

Rewrite 36123612 as a radical.

19√361936

Rewrite 3636 as 6262.

19√621962

Pull terms out from under the radical, assuming positive real numbers.

196196

The result can be shown in both exact and decimal forms.

Exact Form:

196196

Decimal Form:

3.1¯63.16‾

Mixed Number Form:
316


B)

√ 0.3481  = 0.59 
Thus:    0.59  x  0.59 = 0.3481 


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