The square source of 148 is expressed together √148 in the radical form and together (148)½ or (148)0.5 in the exponent form. The square root of 148 rounded up to 5 decimal places is 12.16553. The is the hopeful solution of the equation x2 = 148. We can express the square source of 148 in its lowest radical type as 2 √37.

You are watching: Whats the square root of 148

**Square source of 148:**12.165525060596439

**Square source of 148 in exponential form:**(148)½ or (148)0.5

**Square root of 148 in radical form:**√148 or 2 √37

1. | What is the Square root of 148? |

2. | Is Square root of 148 reasonable or Irrational? |

3. | How to uncover the Square root of 148? |

4. | FAQs on Square source of 148 |

## What is the Square source of 148?

The square root of a number is the number (integer) which when multiplied by itself results in the initial number. Choose 144 deserve to be expressed as 122 = 12 × 12. Right here 12 is referred to as the square root of 144 and also we recognize that 144 is a perfect square. Non-square numbers also have a square root, the only difference is the they room not totality numbers. Similarly the square source of 148 is expressed as √148 in the radical form and together 148½ in the exponent form. The square root of 148 rounded come 4 decimal places is +12.1655, -12.1655.

148 = a × a = 12.1655Then a = √148 = √(12.1655 × 12.1655)The square root of 148 is +12.1655 or -12.1655This shows that 148 is**not**a perfect square.

## Is Square source of 148 Rational or Irrational?

A reasonable number is defined as a number that have the right to be represented in the ratio of 2 integers(p/q) wherein q ≠ 0. A number the cannot it is in expressed as a ratio of two integers is one irrational number. The decimal form of the irrational number is non-terminating (i.e., it never ends) and also non-recurring (i.e., the decimal component of the number never ever repeats a pattern). The square source of 148 cannot be created in the form of p/q. Therefore, the square root of 148 is an irrational number. √148 = 12.1655. Hence, √148 is an irrational number.

## How to uncover the Square source of 148?

The square root of 148 by long department method is composed of the adhering to steps:

**Step 1:**Starting indigenous the right, we will pair up the digits 148 by putting a bar over 48 and 1 separately. We also pair the 0s in decimals in pairs of 2 native left come right.

**Step 3**: Drag down 48 beside the remainder 0. Also, include the divisor come itself and write that below.(1+1=2)

**Step 5:**Repeat this process to obtain the decimal places you want.

**Important Notes:**

The square source of 148 is an irrational number.The number 148 is no a perfect square.The square root of -148 is an imaginary number.There exists a optimistic and an unfavorable roots the 148, +12.165 and also -12.165.The square root of 148 in decimal form is +12.165.The square root of 148 is represented as √148 in radical form.The square root of 148 is represented as (148)½ in exponential form.

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

**Challenging Questions**

What is the negative root the 1480?Find the square source of 148 up come 5 decimal places?What is the square root of:a) 1148b) √14148

## Square source of 148 solved Examples

**Example 2:** What number Rumi should subtract to 148 to obtain a perfect square number if the square root of the derived number is 12, uncover the number. Find if the acquired number is also a perfect square.

**Solution:**

To find the number let us assume number = aOn subtracting "a" us get,148 - a = (12)²a = 148 - 144a = 4148 - 4 = 144.144 is a perfect square (√144 = 12).4 is also a perfect square number √4 = 2The number is 4 and the is a perfect square.

**Example: If the area of a one is 148π in2. Find the radius that the circle.**

**Solution:**

Let "r" it is in the radius of the circle.⇒ Area the the one = πr2 = 148π in2⇒ r = ±√148 inSince radius can"t it is in negative,⇒ r = √148The square source of 148 is 12.166.⇒ r = 12.166 in

View an ext >

go come slidego come slidego to slide

Breakdown tough concepts through straightforward visuals.

Math will certainly no much longer be a hard subject, especially when you know the ideas through visualizations.

Book a totally free Trial Class

## FAQs top top the Square root of 148

### What is the value of the Square source of 148?

The square root of 148 is 12.16552.

### Why is the Square source of 148 one Irrational Number?

Upon prime factorizing 148 i.e. 22 × 371, 37 is in odd power. Therefore, the square root of 148 is irrational.

### What is the value of 14 square root 148?

The square source of 148 is 12.166. Therefore, 14 √148 = 14 × 12.166 = 170.317.

### What is the Square that the Square source of 148?

The square of the square root of 148 is the number 148 chin i.e. (√148)2 = (148)2/2 = 148.

### Is the number 148 a Perfect Square?

The element factorization of 148 = 22 × 371. Here, the prime variable 37 is not in the pair. Therefore, 148 is not a perfect square.

See more: What Is The Currency In Montenegro And The Euro, Montenegro And The Euro

### What is the Square source of 148 in easiest Radical Form?

We have to express 148 as the product of its prime factors i.e. 148 = 2 × 2 × 37. Therefore, √148 = √2 × 2 × 37 = 2 √37. Thus, the square source of 148 in the lowest radical kind is 2 √37.