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.

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Square source of 148: 12.165525060596439Square source of 148 in exponential form: (148)½ or (148)0.5Square 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.

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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.

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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


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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.

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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.