Find the smallest whole number by which 2925 should be divided so as to get a perfect square. Also find the square root of the square number so obtained.
Answers
Answer:
The perfect "square root" of "225" is 15.
Given:
Given number is 2925
To find:
The "square root" of the obtained perfect square
Answer:
Given number is 2925
Prime factors of 2925 is
2925 = 3 \times 3 \times 5 \times 5 \times 132925=3×3×5×5×13
Thus 13 is the smallest number must be divided by 2925 in order to get perfect square.
Therefore,
New \ number = \frac {2925} {13} = 225New number=
13
2925
=225
Hence,
\sqrt {225} = 3 \times 5 =15
225
=3×5=15
Step-by-step explanation:
hope it is helpful ☺️
To find the number to be divided from 2925, we need to find out the prime factorization of 2925.
Prime factorization of 2925= 5*5*3*3*13
The number 13 should be divided to obtain a perfect square.
=> 2925/13 = 225
The perfect square is= 225
The square root of 225 is 15 [ = 225]