Question

3. What must be subtracted from 4562 to get a perfect square ?
Also, find the square root of this perfect square.​

Answer 1

76 should be subtracted from 4562 to get a perfect square.

4562 - 76 = 4486

√4486 = 66.97

Answer 2

$\huge⭐{\mathtt{\underline{\red{A}{\orange{N}}{\pink{S}}{\blue{W}}{\purple{E}}{\green{R\:}}}}}⭐$

_______________

↬CONSIDER :

➜ number = 4562

_______________

↬NOTE THAT :

➜ (68)^2 = 4624

is greater than 4562

_______________

↬SO,

➜Consider a number :

• 68 - 1 = 67

➜ (67)^2 = 4489

_______________

:: Thus, it implies that ,

$\boxed{\large{4489\:<\:4562\:<\:4624}}$

➜ so, least least perfect square which is less than 4562 is 4489

________

➜:: therefore, the number is to subtracted from 4562 to make it a perfect square is ,

• 4562 - 4489 = 73

$\boxed{\large{Number\:=\:73}}$

_______________

➜ The square root of perfect square so obtained is ,

√4489 = 67.