Before us begin, let"s know the definition of the square root. The symbol square root is created as **√** and is one integral part of mathematics. When you recognize the basics of detect the square root of a number, you can solve any square root-related problem. In this short lesson, we will certainly learn around the square root the 48 and discover it with different methods prefer long division method. Let united state see what the square source of 48 is.

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**Square source of 48**:

**√**48 = 6.928

**Square the 48: 482**= 2304

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

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

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

4. | FAQs ~ above Square root of 48 |

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

48 is not a perfect square. Us can find 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 find square numbers close come 48. We view that 36 and 49 are the perfect square number close come 48. The square source of 36 is 6 and the square root of 49 is 7. Therefore the square source of 48 must lie in between 6 and 7 and more close to 7 as 48 is closer to 49. This an approach only gives us an approximate answer. To know the exact value we have the right to use the long department method and also find a much more accurate decimal value for **√**48.

### Simplified Radical type of Square source of 48

48 is a composite number. When we discover square source of any type of number, us take one number from each pair that the same numbers indigenous its element factorization and we multiply them. The administer of 48 is 2 × 3 × 2 × 2 × 2 which has actually 1 pair of the same number. It can additionally be written as 48 = 24 × 31. Thus, the most basic radical form of **√**48 is 4**√**3 itself.

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

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

**Step 2**: discover a number which, as soon as multiplied come itself, provides the product less than or same to 48. So, the number is 4. Putting the divisor as 6, we gain the quotient as 6 and the remainder 36.

**Step 3**: Now double the divisor. Assumption: v the largest possible digit i beg your pardon will also become the new digit in the quotient, together that as soon as the new divisor is multiply to the new quotient the product is much less than or equal to the dividend. Divide and also write the remainder.

**Explore Square roots using illustrations and also interactive examples**

**Important Notes:**

**√**48 are 6.928.

**Challenging Questions:**

**√**

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

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

**Solution**

We need to express 48 as the product the its prime factors as 48 = 2 × 3 × 2 × 2 × 2.**Therefore, √**48 = **√**(2 × 2 × 2 × 2 × 2) = 4**√**3.**Thus, 4√**3 is in the lowest radical form.

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