Question

Exercise 8.2 1) Find the square roots of the following numbers by the method of prime factorisation (i) 484 (ii) 1156 (iii) 1444 (iv) 1681 (v) 2601 (vi) 3844 (vii) 9216 (viii) 9604 (ix) 41,616 5 (x) 2,70,400 (xi) 3,72,100 (xii) 5,62,500 ( ci) 1,02,400 (xiv) 2,60,100 (xv) 44,521​

Answer 1

Answer:

Step-by-step explanation:

(i) 729=3×3×3×3×3×3= 3  

2

×3  

2

×3  

2

 

729

​

=27

(ii) 400= 2  

2

×2  

2

×5  

2

 

400

​

=20

(iii) 1764= 2  

2

×2  

2

×7  

2

 

1764

​

=42

(iv) 4096= 2  

2

×2  

2

×2  

2

×2  

2

×2  

2

×2  

2

 

4096

​

=64

(v) 7744= 2  

2

×2  

2

×2  

2

×11  

2

 

 

7744

​

=88

(vi) 9604= 2  

2

×7  

2

×7  

2

 

9604

​

=98

(vii) 5929= 11  

2

×7  

2

 

5929

​

=77

(viii) 9216= 96  

2

 

9216

​

=96

(ix) 529=23×23

529

​

=23

(x) 8100=90  

2

 

8100

​

=90.