Find the least number that must be subtracted to 6666 so that it becomes a perfect square,
Also find the square root of the perfect square thus obtained.
answer me briefly plsssssss
Answers
Answered by
3
Answer:
the least no. to be subracted is 105. and the square root of the new no. is 81.
Step-by-step explanation:
First, lets find the square root of 6666 by using division method
√6666
So remainder=105
now lets subract 105 from 6666
6666 subracted from 105=6561
and therefore √6561=81
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SOLUTION :
LCM of 6666 = 2*3*(11*11)
( here, the number which is in bracket is considered as a whole for example (2*2) when we will remove the bracket we shall write just a 2 )
Therefore, the number by which 6666 should be divided in other to make it a perfect square = 2*3 = 7
—————————————-
• The perfect square= 6666 divided by 6
= 1111 ( ANSWER )
—————————————
The square root of 1111 -
1111 by prime factorisation gives,
= (11*11)
= 11 ( ANSWER )
—————————————
Hope it would help you,
Have a nice day!
:D
LCM of 6666 = 2*3*(11*11)
( here, the number which is in bracket is considered as a whole for example (2*2) when we will remove the bracket we shall write just a 2 )
Therefore, the number by which 6666 should be divided in other to make it a perfect square = 2*3 = 7
—————————————-
• The perfect square= 6666 divided by 6
= 1111 ( ANSWER )
—————————————
The square root of 1111 -
1111 by prime factorisation gives,
= (11*11)
= 11 ( ANSWER )
—————————————
Hope it would help you,
Have a nice day!
:D
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