Question

find the least number by which 69192 must be (I) decreased (2)increased (3)multiplied (4) divided, to make it a perfect square​

Answer 1

Answer:

i) The least increased number to make it a perfect square is 504.

ii) The least decreased number to make it a perfect square is 23.

iii)The least multiplied number  to make it a perfect square is 2.

iv) The least divide number to make it a perfect square is 2.          

Step-by-step explanation:

Given : Number 69192.

To find : The least number by which 69192 must be

(i) increased (ii) decreased (iii) multiplied (iv) divided ,to make it a perfect square.

Solution :

For (i) and (ii),

We find the number in between the number square root lie.

\sqrt{69192}=263.0469192=263.04

i.e. 263^2 < 69192 < 264^22632<69192<2642

(i) For increased number,

Subtract 69192 from 264^22642

i.e. 264^2-69192=69696-69192=5042642−69192=69696−69192=504

Therefore, The least increased number to make it a perfect square is 504.

(ii) For decreased number,

Subtract  263^22632 from 69192

i.e. 69192-263^2=69192-69169=2369192−2632=69192−69169=23

Therefore, The least decreased number to make it a perfect square is 23.

For (iii) and (iv),

We find the factor of the number.

69192=2\times 2\times 2\times 3\times 3\times 31\times 3169192=2×2×2×3×3×31×31

(iii) For multiplied,

If we see the pairs only one 2 is left alone.

So, If we multiply it with 2 it will make a perfect square.

Therefore, The least multiplied number  to make it a perfect square is 2.

(iv) For divided,

If we see the pairs only one 2 is left alone.

So, If we divide it with 2 it will make a perfect square.

Therefore, The least divide number to make it a perfect square is 2.

Answer 2

Step-by-step explanation:

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