What is the square root of 1849?

Question

ScanSolve AI Tutor · Accepted Answer

Step 1: Pair the digits of the number 1849 from the right. The pairs are (18) and (49). Step 2: Find the largest whole number whose square is less than or equal to the first pair, 18. 4² = 16; 5² = 25 Since 16 < 18 and 25 > 18, the number is 4. Write 4 as the first digit of the square root. Step 3: Subtract 4² = 16 from 18. 18 − 16 = 2 Step 4: Bring down the next pair of digits, 49, next to the remainder. The new number is 249. Step 5: Double the current quotient (4 × 2 = 8). Write this as the new divisor's first digit. Now, we need to find a digit 'x' such that when 'x' is placed next to 8 (forming 8x) and multiplied by 'x', the product is less than or equal to 249. Let's try x=3: 83 × 3 = 249 Step 6: Write 3 as the next digit in the square root. Subtract 249 from 249. 249 − 249 = 0 Since the remainder is 0 and there are no more pairs to bring down, the square root is 43. Therefore, the positive square root of 1849 is: √(1849) = 43

What is the square root of 1849?

Answer

Step-by-step solution

Pair the digits of the number 1849 from the right.

Find the largest whole number whose square is less than or equal to the first pair, 18.

Subtract $4^2 = 16$ from 18.

Bring down the next pair of digits, 49, next to the remainder.

Double the current quotient ( $4 \times 2 = 8$ ).

Write 3 as the next digit in the square root.

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More Mathematics Questions

What is the square root of 1849?

Answer

Step-by-step solution

Pair the digits of the number 1849 from the right.

Find the largest whole number whose square is less than or equal to the first pair, 18.

Subtract 42=164^2 = 1642=16 from 18.

Bring down the next pair of digits, 49, next to the remainder.

Double the current quotient (4×2=84 \times 2 = 84×2=8).

Write 3 as the next digit in the square root.

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More Mathematics Questions

Subtract $4^2 = 16$ from 18.

Double the current quotient ( $4 \times 2 = 8$ ).