What is the easiest way to find the square root of a number?

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

To find a square root of a number without a calculator, see if you can get to that whole number by squaring smaller numbers, or multiplying a smaller number by itself. If the number is a perfect square, you will get a whole number as the square root.

How do you find the square root of 144?

The following steps can be followed to find the square root of 144 using prime factorization:
  1. Determine the prime factors of 144. 144 = 2 × 2 × 2 × 2 × 3 × 3. …
  2. Group the prime factors of 144 in pairs. 144 = 22 × 22 × 32
  3. Pick one factor from each pair and the square root of 144 can be written as: √144 = √(22 × 22 × 32)

How do you solve square roots step by step?

How do you manually find the square root of 3?

Value of root 3, √3 =1.732

Square Root Formula. Square Root Of 2.

How do you find the square root of 5?

How do you find the square root of 121?

To find the square root of 121, we take one number from each pair of the same numbers and we multiply them.
  1. 121 = 11 × 11.
  2. √121 = 11.

How do you find the square root of 33?

The square root of 33 is 5.744 approximated to 3 decimal places. √33 is an irrational number.

How do you find the square root of 26?

How do you find the square root of 2 step by step?

How to Find the Square Root of 2?
  1. Step 1: Find the largest number whose square is less than or equal to the number 2. Take this number as the divisor and the quotient, (1 in this case). …
  2. Step 2: In the quotient, put a decimal point after 1. …
  3. Step 3: Double the divisor and enter it with a blank on its right.

What is the square root of 88 simplified?

The square root of 88 is expressed as √88 in the radical form and as (88)½ or (88)0.5 in the exponent form. The square root of 88 rounded up to 7 decimal places is 9.3808315.
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Square Root of 88.
1. What Is the Square Root of 88?
6. FAQs on Square Root of 88

How do you find the square root of 55?

Square Root of 55
  1. Square Root of 55: √55 = 7.416.
  2. Square of 55: 552 = 3025.

How do I find the square root of 49?

Square Root of 49
  1. Square Root of 49: √49 = 7.
  2. Square of 49: 492 = 2401.

What is the square root of 52 simplified?

The square root of 52 rounded up to 9 decimal places is 7.211102551. It is the positive solution of the equation x2 = 52. We can express the square root of 52 in its lowest radical form as 2 √13.
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Square Root of 52.
1. What Is the Square Root of 52?
3. How to Find the Square Root of 52?
4. FAQs on Square Root of 52

What is square root 72 simplified?

6√2
Square root of 72 in simplified form is written as 6√2.

What is square root 24 simplified?

Can the square root of 117 be simplified?

The square root of 117 can be simplified as 3√13.

What is square root 80 simplified?

The square root is √80 = 4√5.

Can the square root of 208 be simplified?

Algebra Examples

Rewrite 208 as 42⋅13 4 2 ⋅ 13 . Factor 16 16 out of 208 208 .

Can the square root of 180 be simplified?

The square root of 180 in its simplest radical form is 6√5.

What is the square root of 160 simplified?

Because 16 is a perfect square, we can pull it out of the square root as a 4. That will simplify down to 4√10 because there are no additional perfect square factors in 10, the resultant is simplified. Therefore √160 simplifies to 4 √10 .

How do you find the square root of 21?

√21 = 4.58257569495584 which is a non terminating decimal.

Can the square root of 162 be simplified?

The number 162 has only two prime factors, 2 and 3. The square root of 162 will be a number whose product with itself results in 162. The square root of 162 can be positive and negative.
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Square of 162: 26244.
1. What Is the Square Root of 162?
5. Important Notes on Square Root of 162