Question

2. Find the least number which must be subtracted from 6203 to get a perfect Square also find square root of the number so obtained

Answer 1

Answer:

119

Step-by-step explanation:

We need to find the closest to 6203 perfect square, smaller than 6203 as we will subtract a number.

6203 is 4-digit number, 62 is close to 8. We know 8^2=64, so 80^4=6400

This is a starting point. Lets go down by 1 and see:

79^2=(80-1)^2=6400+1-2*80=6261- greater than 6203

78^2=(80-2)^2=6400+4-4*80=6084- smaller than 6203

So 6084 is the closest to 6203 perfect square

6203-6084= 119

6203-119=78^2