Before us begin, let"s recognize the an interpretation of the square root. The symbol square root is created as **√** and is one integral part of mathematics. Once you recognize the basics of recognize the square root of a number, you can solve any kind of square root-related problem. In this short lesson, we will learn around the square root that 48 and find it with various methods like long department method. Let united state see what the square root of 48 is.

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**Square source of 48**:

**√**48 = 6.928

**Square of 48: 482**= 2304

1. | What Is the Square root of 48? |

2. | Is Square source of 48 Rational or Irrational? |

3. | How to uncover the Square root of 48? |

4. | FAQs ~ above Square root of 48 |

The square source of a number is the number that gets multiplied to itself to provide the product. The square root of 48 is 6.92820323. Square root of 48 in the radical form is to express as **√**48 and in exponent form, it is expressed as 481/2. The square root of 48 rounded to 5 decimal locations is 6.9282...

48 is no a perfect square. We can discover the square source of 48 by the approximation method. For the accurate value, we have the right to use the long division method. In the approximation method, we discover square number close come 48. We watch that 36 and 49 are the perfect square number close to 48. The square root of 36 is 6 and the square source of 49 is 7. As such the square root of 48 must lie between 6 and 7 and much more close come 7 as 48 is closer to 49. This an approach only provides us an approximate answer. To understand the exact value we can use the long division method and find a an ext accurate decimal value for **√**48.

### Simplified Radical kind of Square root of 48

48 is a composite number. When we discover square source of any number, we take one number from each pair the the same numbers native its prime factorization and we main point them. The administrate of 48 is 2 × 3 × 2 × 2 × 2 which has actually 1 pair of the very same number. It can likewise be written as 48 = 24 × 31. Thus, the easiest radical form of **√**48 is 4**√**3 itself.

Let united state follow the steps to find the square root of 48 by lengthy division.

**Step 1**: starting from the right, we will pair up the digits by putting a bar over them.

**Step 2**: discover a number which, once multiplied to itself, offers the product less than or equal to 48. So, the number is 4. Placing the divisor together 6, we gain the quotient together 6 and the remainder 36.

**Step 3**: Now twin the divisor. Guess the largest possible digit i m sorry will additionally become the new digit in the quotient, together that when the new divisor is multiply to the new quotient the product is less than or equal to the dividend. Divide and write the remainder.

**Explore Square roots utilizing illustrations and interactive examples**

**Important Notes:**

**√**48 are 6.928.

**Challenging Questions:**

**√**

**√**48?Determine the square source of -48.

**Example 2**: Help Ross simplify the square source of 48 to its shortest radical form.

**Solution**

We should express 48 as the product of its prime determinants as 48 = 2 × 3 × 2 × 2 × 2.**Therefore, √**48 = **√**(2 × 2 × 2 × 2 × 2) = 4**√**3.**Thus, 4√**3 is in the shortest radical form.

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