Question

1) Find the square root of 1936 using prime factorization method
2) Find the square root of 1681 using long division method
3) Find the square root of 56.25
4) Find the least square number exactly divisible by 8,12,15 and 20

Answer with explanation

Answer 1

Step-by-step explanation:

1. The factors of 1936 is,

1936=2×2×2×2×11×11

Take square root both sides,

1936=2×2×2×2×11×11

=24×112

=((2)2×11)2

=4×11

=44

Therefore, the square root of 1936 is 44.

2. The square root of 1681 is 41.

3. The square root of 56.25 is 7.5.

4.The required solution of the problem is 

Let find the LCM of the given numbers i.e. 8,12,15and20

That is, 

2×2×2×5×3=120

But, 2,3,5 are not in pair so

multiply these with LCM

=120×3×5×2

=3600

Therefore there are 3600 numbers. 

Answer 2

Step-by-step explanation:

1) Find the square root of 1936 using prime factorization method