Step 1: Understand the problem. The problem asks to calculate the square root of 1936, which is written as √(1936). This means finding a number that, when multiplied by itself, equals 1936. Step 2: Calculate the square root. We need to find a number x such that x² = 1936. We can estimate the value: 40² = 1600; 50² = 2500 So, the number is between 40 and 50. The last digit of 1936 is 6. This means the square root must end in either 4 (since 4² = 16) or 6 (since 6² = 36). Let's try 44: 44 × 44 = 1936; Therefore, √(1936) = 44. The value of √(1936) is 44.

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Work out sqrt(1936)

June 9, 2026Mathematics

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Answer

44

Step-by-step solution

2 steps

Understand the problem.
The problem asks to calculate the square root of 1936, which is written as $\sqrt{1936}$ . This means finding a number that, when multiplied by itself, equals 1936.
Calculate the square root.
We need to find a number $x$ such that $x^2 = 1936$ .
We can estimate the value:
$40^2 = 1600$
$50^2 = 2500$
So, the number is between 40 and 50.
The last digit of 1936 is 6. This means the square root must end in either 4 (since $4^2 = 16$ ) or 6 (since $6^2 = 36$ ).
Let's try 44:
$44 \times 44 = 1936$
Therefore, $\sqrt{1936} = 44$ .

The value of $\sqrt{1936}$ is $\boxed{44}$ .

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Work out sqrt(1936)

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Step-by-step solution

Understand the problem.

Calculate the square root.

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