what is the square root of 145

Square Root of 145 The square root of 145 is the inverse of the calculation that calculates the square of a number whose square is 145. The number 145 has two distinct prime factors, 5 and 29. We will now calculate the value. of the square root of 145 using the long division method and the approximation method. In addition, we will look at some interesting facts and issues.

• Square root of 145: 12.0415
• Square of 145: 21025

1. What is the square root of 145? 2. Is the square root of 145 Reasonable or Unreasonable? 3. How to find the square root of 145? 4. Frequently Asked Questions about Square Root of 145 5. Important Notes about Square Root of 145

• The square root of 145 in decimal is 12.0415
• The square root of 145 is expressed as √145 in root form.
• The square root of 145 is represented as (145) 1/2 in exponential form.

The square root of 145 is a non-terminating and non-repeating number. Therefore, it cannot be expressed as p/q where q ≠ 0. Therefore, the square root of 145 is an irrational number. find the square root of 145 using the methods given below:

Square Root of 145 Using the Approximation Method

• First, we’ll find two consecutive numbers such that 145 is between their perfect squares. In this case, the numbers are 12 (144) and 13 (169). So the integer part of the square root of 145 is 12.
• Now, for the decimal part, we will use the below formula: (Given number – Smaller perfect square) / (Larger perfect square – Smaller perfect square) = (145 – 144) / (169 – 144) = 1/25 = 0.04
• Therefore, approx. the value of the square root of 145 according to the approximate method is 12.04

Square root of 145 by Long Division

Now we will calculate the square root of 145 using the long division method.

• Start matching the digits from the right side of the number 145 by placing a stick on top of them. Here we will have two pairs, 45 and 1 (from right to right).
• Now find a number (a) whose square is ≤ 1. The value of a will be 1 because 1 × 1 = 1≤ 1.
• We get the quotient (1). Now, we will add the divisor a to itself and get the new divisor 2a (2).
• Drag the next pair down (new dividend becomes 045) and find a number (A) such that 2A × A ≤ 45. In this case, the value of A will be 2.
• Now put a decimal in the divisor (145) after 5 and the quotient (12) after 2 simultaneously. Alternatively, add 3 pairs of zeros in the dividend after the decimal (145. 00 00 00) and repeat the step above for the remaining three pairs of zeros.

Read more: Difference between jokes So we get the value of square root of √145 = 12,041 by long division method.Explore square roots using interactive illustrations and examples. Read more: What are the elements of 7

• Square root of 125
• Square root of 35
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• Square root of 5
• Square root of 144

• The square root of 145 is an irrational number.
• The number 145 is not a perfect square.
• The square root of -145 is an imaginary number.

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