Math, asked by manu3579, 1 year ago

Find the smallest number by which 1100 must be multiplied so that the product
becomes a perfect square. Also, find the square root of the perfect square so
obtained.

Answers

Answered by Aryanthegreat01
2

Answer:

BY PRIME FACTORIZATION  METHOD:-

√1100  =  √2*2*5*5*11

AS WE CAN SEE HERE THAT 11 IS LEFT UNPAIRED.  SO IF WE MULTIPLY 1100 WITH 11 THEN WE WILL GET A PERFECT SQUARE.

⇒ 1100*11  =  12100

√12100 =  √2*2*5*5*11*11

            =   2*5*11

            =  10*11

           =  110

COMPLETED

Step-by-step explanation:

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