Question

Without calculating the square of the numbers, show that the following numbers are not
perfect squares.
a. 29
b. 101
c. 66
d. 199
e. 74
f. 55
g. 430
​plz solve emergency with explanation​

Answer 1

To Find :- Without calculating the square of the numbers, show that the following numbers are not perfect squares.

a. 29

b. 101

c. 66

d. 199

e. 74

f. 55

g. 430

Answer :-

we know that,

• A perfect square number has prime factors in pairs .

so, checking prime factors we get,

A) 29 = 1 * 29 = no pair => Not a perfect square .

B) 101 = 1 * 101 = no pair => Not a perfect square .

C) 66 = 2 * 3 * 11 = no pair => Not a perfect square .

D) 199 = 1 * 199 = no pair => Not a perfect square .

E) 74 = 2 * 37 = no pair => Not a perfect square .

F) 55= 5 * 11 = no pair => Not a perfect square .

G) 430 = 2 * 5 * 43 = no pair => Not a perfect square .

therefore, we can conclude that, all given numbers are not perfect squares .

Learn more :-

(3) निम्न के स्थानीय मान लिखिये-

(अ)43.24

(स)884.20

(ब) 534.34

(द) 178.34

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