Q1 of 67 Page 95

Find the nearest integer to the square root of the following numbers:

(i) 232


(ii) 600


(iii) 728


(iv) 824


(v) 1729

(i) 232


Nearest perfect square < 232 = 225


Nearest perfect square > 232 = 256


⇒ Nearest integer to the square root of 232 = 15


(ii) 600


Nearest perfect square < 600 = 576


Nearest perfect square > 600 = 625


⇒ Nearest integer to the square root of 600 = 24


(iii) 728


Nearest perfect square < 728 = 676


Nearest perfect square > 728 = 729


⇒ Nearest integer to the square root of 232 = 27


(iv) 824


Nearest perfect square < 824 = 784


Nearest perfect square > 824 = 841


⇒ Nearest integer to the square root of 824 = 29


(v) 1729


Nearest perfect square < 1729 = 1681


Nearest perfect square > 1729 = 1764


⇒ Nearest integer to the square root of 1729 = 42


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