what is the square root of 441

Square Root of 441 The number 441 is an odd number. The square root of 441 is a number (integer) that when multiplied by itself gives 441, which is both positive and negative. In this mini-lesson, we’ll find the square root of 441 using prime factorization and long division, learn a few interesting facts, and solve some problems.

• Square root of 441: 21
• Square 441: 194,481

1. What is the square root of 441? 2. Is the square root of 441 Reasonable or Unreasonable? 3. How to find the square root of 441? 4. FAQ about Square Root of 441

• The square root of a number is a number (Integer) whose product itself is the original number.
• 441 = a × a = 21 × 21
• Then a = 441 = (21 × 21)
• 21 × 21 = 441 or -21 × -21 = 441
• The square root of 441 is +21 or -21.
• This shows that 441 is a perfect square.

• A rational number is one that can be written as the ratio of two integers, that is, p / q where q ≠ 0.
• 21 and -21 can be written as 21/1 and -21/1
• So the square root of 441 is a rational number.

The square of 441 can be evaluated using the prime factorization method, the long division method, or the repeated subtraction method.

Square root of 441 by the prime factorization method

The following steps can be followed to find the square root of 441 using prime factors:Step 1. Determining the prime factors of 441. 441 = 3 × 3 × 7 × 7 441 = 32 × 72Read more: What happened to lucia during the snowStep 2. Group the prime factors of 441 into pairs. 441 = 32 × 72Step 3. Choose a factor from each pair and the square root of 441 can be written as: √441 = √ (32 × 72) √441 = √ (3 × 7) 2 √441 = ((3 × 7) 2) 1 /2 = ± (3 × 7) 441 = ±21

Square Root of 441 by Long Division

Follow the steps below to find the square root of 441 for long division.Step 1. Write 441 as shown below. Match numbers from the right end (1) by placing a stick on top of them. In the case of 441, 41 will be paired under one bar and 4 under the second.Step 2. Find a number that, when multiplied by itself, equals or is less than 4. Read more: Like fractions and unlike fractions | Top Q&AStep 3. Drag the next pair of numbers. This is 41. Multiply the quotient of 2 by 2 (or plus itself) and write it as the tens digit of the new divisor.Step 4. Choose a number for the unit position of the divisor so that when multiplying it by the new divisor it results in 41 or a smaller number near 41. Here the number is 1 which is 41 × 1 = 41. them we get the value of the square root of √441 = 21 by the long division method.Explore square roots using illustrations and interactive examples. Read more: What is Fortnite: Smurfing and how can it lead to a ban?

• Square root of 44
• Square root of 14
• Square root of 288
• Square root of 144
• Square root of 400

• There will be n/2 digits in the square root of an even number of n digits.
• There will be (n + 2) / 2 digits in the square root of an odd n digit number.
• The number 441 is a perfect square.

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