How do you find the square root of 44 without a calculator?

The square root of 44 radical form can be represented by √44. The simplest radical form of square root of 44 isradic;44 = √4 × √11= √11.

Can the square root of 48 be simplified?

Simplified Radical Form of Square Root of 48 The factorization of 48 is 2 × 3 × 2 × 2 × 2 which has 1 pair of the same number. It can also be written as 48 = 24 × 31. Thus, the simplest radical form of √48 is 4√3 itself.

What is the square root of 28 simplified?

To simplify the square root of 28, let us first express 28 as a product of its prime factors. Prime factorization of 28 is 2 × 2 × 7. Therefore, √28 can be simplified further as √(2 × 2 × 7) =2√7. Thus, we have expressed the square root of 28 in the simplest radical form as 2√7.

How do you simplify √ 44?

1 Answer

  1. The answer is 2√11 . To simplify a square root, you factor what’s inside the root into perfect squares and everything else. In this case, you can factor 44.
  2. √44=√4⋅11. 4 is a perfect square, so you can take it out its root giving you the answer:
  3. 2√11. 11 is a prime number meaning you cannot factor it any further.

Can the square root of 22 be simplified?

The square root of 22 is already in its simplest radical form and cannot be simplified.

What is an easy way to simplify a square root?

Find a Perfect Square. Perfect squares are numbers that are equal to a number times itself.

  • Rewrite the Square Root. Next,use the perfect square you just found to rewrite your square root as a multiplication expression.
  • Pull the Square Root Apart.
  • Reduce the Perfect Square.
  • Double-check.
  • Complete Any Extra Multiplication.

    • What is the simplest way to calculate square roots?

    Separate The Digits Into Pairs. To begin,let’s organize the workspace.

  • Find The Largest Integer. As the next step,we need to find the largest integer (i) whose square is less than or equal to the leftmost number.
  • Now Subtract That Integer.
  • Let’s Move To The Next Pair.
  • Find The Right Match.
  • Subtract Again.

    • How do you simplify the square root of a number?

    Simplifying a Square Root by Factoring Understand factoring. Divide by the smallest prime number possible. Rewrite the square root as a multiplication problem. Repeat with one of the remaining numbers. Finish simplifying by “pulling out” an integer. Multiply integers together if there are more than one.

    How do you simplify a square root with a variable?

    Simplifying square roots with variables is similar to simplifying square roots without variables. Treat the variable as a factor–if it appears twice (x 2), cross out both and write the factor (x) one time to the left of the square root sign.