Question

7. Evaluate :

(i) (29)2 – (28) (ii) (56)2 – (55) (iii) (82)2 – (81)2
(iv) (108)2 – (107)2
(v) (221)2 – (220)2

8. Using the identity (a + b)2 =
(a + 2ab +62), evaluate :

(i) (204)
(ii) (307)
(iii) (430)

9. Using the identity (a - b)2 = (a? – 2ab + b2), evaluate :

(i) (94)
(ii) (192)
(iii) (389)
10. Evaluate :
(i) 59 x 61
(ii) 88 x 92
(iii) 94 x 106
(iv) 48 x 52

11. State whether each of the following statements is true or false :

(1) A perfect square number always has an even number of digits.

(ii) Every number ending in an even number of zeros is a perfect square.

(iii) The square of a prime number is prime.

(iv) There are 10 perfect square numbers from 1 to 100.

(v) The sum of two perfect squares is a perfect square.

(vi) The difference of two perfect squares is a perfect square.

(vii) The product of two perfect squares is a perfect square.




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Answer 1

Step-by-step explanation:

11.i. False

ii. False

iii. False

iv. False

v. True

vi. False

vii. True

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Answer 2

Answer:

the product of two perfect squares is a perfect square