find the square root of the following fractions correct to two decimal places : 5 5/11
Answers
Answer:
answered • expert verified
Find the square root of the following fractions correct to 2 decimal places
(i) 11 3/8
(ii) 5 5/11
(iii) 7 1/3
Step-by-step explanation:
Find the square root of the following fractions correct to 2 decimal places
(i) 11 3/8
(ii) 5 5/11
(iii) 7 1/3
Given we need to find the square root of the fraction for 2 decimal places.
1. 11 3/8 = 91 / 8
= 11.375
3.372
-----------------------------
3 11.375
3 9
----------------------------------------
63 237
3 189
-------------------------------------------
667 4850
7 4669
-----------------------------------------
6742 18100
13484
------------------------------------------
4616
So 3.37 is the square root
2. 5 5 /11 = 60 / 11
= 5.4545
2.33
---------------------------------------------
2 5.4545
2 4
------------------------------------------
43 145
3 129
------------------------------------------
463 1645
3 1389
------------------------------------------
466 256
so 2.33 is the square root
3. 7 1/3 = 22/3
= 7.33
2.70
------------------------------------------
2 7.33
2 4
--------------------------------------
47 333
7 329
-------------------------------------
54 004
so 2.70 is the square root
Given : (i) 11 3/8 , (ii) 5 5/11 , (iii) 7 1/3
To find : Square root
Solution:
11\frac{3}{8} = \frac{91}{8}
91/8 = 182 / 16
√(182/16) = √182 / 4
13.49
182
1 1
_______
082
23 69
_______
1300
264 1056
______
24400
2689 24201
_______
199
13.49 / 4 = 3.37
=> \sqrt{11\frac{3}{8} } = 3.37
(ii) 5 5/11 = 60/11
= 660/11²
= 2² * 165/11²
12.845
165
1 1
_________
065
22 44
_________
2100
248 1984
_________
11600
2564 10256
__________
134400
25685 128425
_______
5975
√165 = 12.845
2 * 12.845 / 11 = 2.335
\sqrt{5\frac{5}{11} } = 2.335
(iii) 7 1/3 = 22/3
= 66/3²
8.12
66
8 64
_____
200
161 161
______
3900
1622 3244
_______
656
√66 = 8.12
8.12/3 = 2.71
\sqrt{7\frac{1}{3} } = 2.71