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Posted on April 22, 2022 (Updated on July 9, 2025)

What is a square root expression?

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A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand. √a. To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

How do you solve a square root expression?

Video quote: Here is the property that if we have the square root of a product that always equals the product of the square roots.

What does it mean to square an expression?

Video quote: It's just a multiplied by B twice that is 2 a B.

What is the expression square root of 2?

1.414

The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414.

What is the expression of square root of 5?

The square root of 5 is expressed as √5 in the radical form and as (5)½ or (5)0.5 in the exponent form. The square root of 5 rounded up to 5 decimal places is 2.23607. It is the positive solution of the equation x2 = 5.

Can you square root an expression?

To simplify an expression containing a square root, we find the factors of the number and group them into pairs. For example, a number 16 has 4 copies of factors, so we take a number two from each pair and put it in front of the radical, finally dropped, i.e., √16 = √(2 x 2 x 2 x 2) = 4.

How do you find the square root for dummies?

Video quote: Well just like our work shows the number that's multiplied by itself that would give us 25 is 5. There we go. So with that idea in mind we can do many many more types of square roots.

What is square root 80 simplified?

4√5

√80 = 4√5. Therefore, the square root of 80 in radical form is 4√5. Square Root of 80 in Radical Form: 4√5.

What is square root 24 simplified?

2√6

Square root of 24 in simplest form is 2√6.

How do you find the square root of 50?

Video quote: So this simplifies down to 5 root 2 that's it right there.

What is square root 72 simplified?

6√2

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

What is the square root of 60 simplified?

2 √15

What is the Square Root of 60 in Simplest Radical Form? We need to express 60 as the product of its prime factors i.e. 60 = 2 × 2 × 3 × 5. Therefore, √60 = √2 × 2 × 3 × 5 = 2 √15. Thus, the square root of 60 in the lowest radical form is 2 √15.

What is square root 200 Simplified?

10√2

The square root of 200 in its simplest radical form is 10√2. If we know the prime factorization of a number, we can write the radical form of the square root of that number. As a result, the prime factorization of 200 is 2 × 2 × 2 × 5 × 5. As a result, the square root of 200 in the simplest radical form should be 10√2.

What is the square root of 175 simplified?

5√7

The square root of 175 in the simplest form is 5√7.

Can the square root of 54 be simplified?

How do you simplify square root of 54? 3√6 is the simplest form of √54.

What is the square root of 40 simplified?

2√10

We know that the square root of 40 in the simplest radical form is 2√10. 2√10×√40 = 40. Hence, the simplified form of 2√10×√40 is 40.

How do you solve root 8?

The square root of 8 in radical form is represented as √8 which is also equal to 2√2 and as a fraction, it is equal to 2.828 approximately.



Square root Table From 1 to 15.

Number Squares Square Root (Upto 3 places of decimal)
7 72 = 49 √7 = 2.646
8 82 = 64 √8 = 2.828
9 92 = 81 √9 = 3.000
10 102 = 100 √10 = 3.162`

Can the square root of 117 be simplified?

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

How do you find the square root of 52?

Video quote: You want to think about what is the largest factor of 52. That you can take the square root of well 52 is actually 4 times 13.. So you can write this as 4 times 13.

How do you find the square root of 49?

Video quote: So first note if you take 7 and you square. It you get 49.. And so this actually means that 7 is a square root of 49 so 7 is a square root of 49.

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.


What is the square root of 37 simplified?

The square root of 37 is √37 = 37 ½ = ± 6.082.

Can the square root of 47 be simplified?

47 is a number that is not a perfect square, meaning it does not have a natural number as its square root. Also, its square root cannot be expressed as a fraction of the form p/q which tells us that the square root of 47 is an irrational number.

What is the square root of 45 simplified?

3√5

The simplified radical form of the square root of 45 is 3√5.

What is the square root of 56 simplified?

2√14

2√14 is the simplest form of √56.

What is the square root of 104 simplified?

In this example, the square root of 104 can be simplified. What is this? √104 = 2√26.

What is the simplified square root of 162?

So, we get the square root of √162 = 12.727 by the long division method.

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