Squares and Square Roots - Solutions 2

CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 6
Squares and Square Roots (Ex. 6.2)

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1. Find the squares of the following numbers:

(i) 32      (ii) 35     (iii) 86

(iv) 93     (v) 71     (vi) 46

Ans. (i)    

= 900 + 120 + 4 = 1024

(ii)    

   = 900 + 300 + 25 = 1225

(iii)    

   = 6400 + 960 + 36 = 7396

(iv)    

   = 8100 + 540 + 9 = 8649

(v)    

   = 4900 + 140 + 1 = 5041

(vi)    

   = 1600 + 480 + 36 = 2116

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2. Write a Pythagoras triplet whose one member is:

(i) 6      (ii) 14     (iii) 16       (iv) 18

Ans. (i) There are three numbers  and  in a Pythagorean Triplet.

Here,    

Therefore, Second number 

Third number 

Hence, Pythagorean triplet is (6, 8, 10).

(ii) There are three numbers

 and  in a Pythagorean Triplet.

Here,   

Therefore, Second number 

  Third number 

Hence, Pythagorean triplet is (14, 48, 50).

(iii) There are three numbers  and  in a Pythagorean Triplet.

Here,   

Therefore, Second number 

  Third number 

Hence, Pythagorean triplet is (16, 63, 65).

(iv) There are three numbers  and  in a Pythagorean Triplet.

Here,   

Therefore, Second number 

  Third number 

Hence, Pythagorean triplet is (18, 80, 82).