Find the least number which must be added to 6203 to abtain a perfect square. Find this perfect square and its square root.

Answer

To find the least number which must be added to 6203 to obtain a perfect square, we can follow these steps:

### Step 1: Identify the nearest perfect square
First, we need to find the square root of 6203 to determine the nearest perfect square.

\[ \sqrt{6203} \approx 78.74 \]

### Step 2: Calculate the next whole number
Since we want a perfect square, we round up to the next whole number, which is 79.

### Step 3: Calculate the perfect square
Now, we calculate the perfect square of 79:

\[ 79^2 = 6241 \]

### Step 4: Find the least number to be added
Next, we find the difference between 6241 and 6203 to determine the least number that must be added:

\[ 6241 - 6203 = 38 \]

### Step 5: State the perfect square and its square root
Thus, the perfect square is 6241, and its square root is 79.

### Final Answer
The least number that must be added to 6203 to obtain a perfect square is **38**. The perfect square is **6241**, and its square root is **79**.

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