find the smallest number which must be added to 7600 to make a perfect square also find square root of perfect square
with steps
Answers
Given: a number 7600
To find:
the smallest number which must be added to 7600 to make a perfect square. square root of perfect square .
Solution:
To solve his problem long division method is used.
step 1:
87
______
8 | 7600
64
_______
167 | 1200
1169
_______
31
Now we don't need to continue further.
(87)² = 7569
(88)² = 7744
given number 7600 < (87)²
but 7600 > (88)²
It means square root of the 7600 lies between 87 and 88.
7744 - 7600 = 144
to make 7600 a perfect sqaure of 88 , we need to add 144 to 7600.
means 7600 +144 = 7744.
Answer 1: 144 must be added to 7600 to make a perfect square.
Step 3:
now find square root of 7744
again we will do long division here.
88
______________
8 | 7744
64
______________
168 | 1344
1344
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00
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square root of 7744 is 88.
Answer 2: square root for 7744 is 88.