,"static/chunks/25967-21a6791ba330fa08.js","78665","static/chunks/78665-26d25a76b832e0f8.js","23997","static/chunks/23997-2cbe446fb110f77b.js","29825","static/chunks/29825-94580ffc5e6c1687.js","28478","static/chunks/app/dn/qna/%5BquestionId%5D/page-182642006856cb3f.js"],"default"] 2c:T45f,To find the square root of 5184, we can follow these steps: ### Step 1: Pair the digits Start from the right side of the number and pair the digits. For 5184, we can pair it as (51)(84). ### Step 2: Find the largest square Now, we need to find the largest square number less than or equal to the first pair (51). The largest square number less than 51 is 49, which is \(7^2\). ### Step 3: Subtract and bring down the next pair Subtract 49 from 51: \[ 51 - 49 = 2 \] Now, bring down the next pair (84) next to the remainder: \[ 2\ 84 \] ### Step 4: Double the quotient Double the number we found in the previous step (which is 7): \[ 2 \times 7 = 14 \] ### Step 5: Find a digit to complete the divisor Now, we need to find a digit \(x\) such that \( (140 + x) \times x \) is less than or equal to 284. Let’s try \(x = 2\): \[ (140 + 2) \times 2 = 142 \times 2 = 284 \] This works because 284 is equal to 284. ### Step 6: Write down the quotient So, we have found that the next digit of the square root is 2. Thus, the square root of 5184 is: \[ 72 \] ### Conclusion The square root of 5184 is \(72\).2d:T4d8,To find the square root of 5184, we can follow these steps:
### Step 1: Pair the digits
Start from the right side of the number and pair the digits. For 5184, we can pair it as (51)(84).
### Step 2: Find the largest square
Now, we need to find the largest square number less than or equal to the first pair (51). The largest square number less than 51 is 49, which is \(7^2\).
### Step 3: Subtract and bring down the next pair
Subtract 49 from 51:
\[
51 - 49 = 2
\]
Now, bring down the next pair (84) next to the remainder:
\[
2\ 84
\]
### Step 4: Double the quotient

The square root of 5184 is:

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