Question

what least number should be subtracted from 1385 to get a perfect square.Also find the square root of that perfect square

Answer 1

Answer:

subtract 1385 by 16 to make it a perfect square

Step-by-step explanation:

When you take out square root of 1385 by long division the quotient becomes 37 and remainder left is 16.

Note: If we are left with a remainder then the given number is not a perfect square.

There are some tricks to solve such problems.

for subtraction : the number left in remainder should be subtracted from given non-perfect square number to make it a perfect square.

hence, 16 should be subtracted by 1385.(16 was the remainder after long division of 1385.)

1385-16=1369

square root of 1369 is 37.

some more tricks:

if they ask that what should be added then see the quotient of number.

(quotient of number + 1) ^2  - the number.

Answer 2

when we divide 1385 the quotient is 37 and the reminder is 16

So we need to subtract 1385 by 16 then we get 1369

So the √1369=37