Question

➢ Give reason to show that none of the numbers given below is a

perfect square

(1)-5372. (2)-5963. (3)-8457. (4)-9468. (5)-64000​

Answer 1

Answer:

(i) Given 5372 By observing the property 1 of perfect square i.e. a number ending in 2 is never a perfect square.Therefore the given number 5372 is not a perfect square.

(ii) Given 5963 We have the property 1 of perfect square i.e. a number ending in 3 is never a perfect square.Therefore the given number 5963 is not a perfect square.

(iii) Given 8457 We have the property 1 of perfect square i.e. a number ending in 7 is never a perfect square.Therefore the given number 8457 is not a perfect square.

(iv) Given 9468 We have the property 1 of perfect square i.e. a number ending in 8 is never a perfect square.Therefore the given number 9458 is not a perfect square.

(v) Given 360 We know the property 2 of perfect square i.e. a number ending in an add number of zeros is never a perfect square.Therefore the given number 360 is not a perfect square.

(vi) Given 64000 We know the property 2 of perfect square i.e. a number ending in an add number of zeros is never a perfect square.Therefore the given number 64000 is not a perfect square.

(vii) Given 2500000 We know the property 2 of perfect square i.e. a number ending in an add number of zeros is never a perfect square.Therefore the given number 2500000 is not a perfect square.

Answer 2

Answer:

no one is perfect square because negative sign is always non perfect square root.