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3. Squares and Square Roots
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Q6 of 114 Page 3

Observe the following pattern


And find the value of


(i) 1002-992 (ii) 1112-1092


(iii)992-962

(i) 1002 – 992

= 100 + 99


= 199


(ii) 1112 - 1092


= 1112 – 1102 + 1102 - 1092


= (111 + 110) + (110 + 109)


= 440


(iii) 992 - 962


= 992 – 982 + 982 – 972 + 972 - 962


= (99 + 98) + (98 + 92) + (97 + 96)


= 585


More from this chapter

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4

What will be the units digit of the squares of the following numbers?

(i) 52 (ii) 977


(iii) 4583 (iv) 78367


(v) 52698 (vi) 99880


(vii) 12796 (viii) 55555


(ix) 53924

5

Observe the following pattern



And write the value of 1+3+5+7+9+……… upto n terms.

7

Which of the following triplets are Pythagorean?

(i) (8, 15, 17)


(ii) (18, 80, 82)


(iii) (14, 48, 51)


(iv) (10, 24, 26)


(v) (16, 63, 65)


(vi) (12, 35, 38)

8

Observe the following pattern


And find the value of


Questions · 114
3. Squares and Square Roots
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