What Is The Square Root Of 125?

The square of 125 is a perfect square because the number is the product of the two equal integers 125. It can be written as 125 × 125 or in exponential form. Read on to learn everything about the number one hundred twenty-five squared, including useful identities.To take the square root of a number, press [2ND] (the secondary function key) and then [√ ] (the radical symbol key which is used to take the square root of a number) and then the number that you want to find the square root of and then the [ENTER] key.Example: To find the square root of 2, push: [2ND] [√ ] 2 [ENTER] This will give you the answer of: 1.414213562 if done correctly.The square root of 16 is + or - 4 (+4)^2=16 and so does (-4)^2 The square root of 123 is approximately + or - 11.09 You can solve for the square root of 123 without a calculator, it's kind of like doing long division 123.0000 First group 123 as 1,...sqrt(125) Simplified Root : 5 • sqrt(5) Simplify : sqrt(125) Factor 125 into its prime factors 125 = 53 To simplify a square root, we extract factors which are squares, i.e.,125 = 5 3 To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent. Factors which will be extracted are : 25 = 5 2 Factors which will remain inside the root are : 5 = 5 To complete this part of the simplification we take the squre root of the factors which are to be extracted.

Square Root Calculator

The cube root of 125 is 5 because 5 × 5 × 5 = 125. Quote of the day... "The secret of getting ahead is getting started. The secret of getting started is breaking your complex overwhelming tasks into small manageable tasks, and then starting on the first one."Estimating an n th Root. Calculating n th roots can be done using a similar method, with modifications to deal with n.While computing square roots entirely by hand is tedious. Estimating higher n th roots, even if using a calculator for intermediary steps, is significantly more tedious. For those with an understanding of series, refer here for a more mathematical algorithm for calculating n thFirst we will find all factors under the square root: 125 has the square factor of 25. Let's check this with √25*5=√125. As you can see the radicals are not in their simplest form. Now extract and take out the square root √25 * √5.Square root calculator and perfect square calculator. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. Calculate the positive principal root and negative root of positive real numbers. Also tells you if the entered number is a perfect square.

How does the square root of 123 compare to the square root

The square root is an inverse mathematical operation of a square. The square root of 125 is the value that is obtained after taking the square root of 125. √125 = 11.1803398875 The simplified radical form of square root of 125 is 5 √5.Subscribe for new videos: www.youtube.com/channel/UCIWCSw8jNs9SPetsVPo1WQQFollow me on Facebook: https://goo.gl/gnnhRjShare this video: https://youtu.be/NicR...So, we can say that the square root of 125 is 11.18 with an error smaller than 0.001 (in fact the error is 0.0002105299). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt (125)' is 11.180339887498949. Note: There are other ways to calculate square roots.The square root of 125 in mathematical form is written with the radical sign like this √125. We call this the square root of 125 in radical form. The square root of 125 is a quantity (q) that when multiplied by itself will equal 125. √ 125 = q × q = q 2Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step

125 is a perfect cube quantity. 125 can also be expressed as a sum of 2 squares in two alternative ways, 125 = 102 + 52 or 112 + 22. Square Root of 125 is expressed as 5 √5. In this lesson, we will calculate the square root of 125 by lengthy department way.

Square Root of 125: 5√5 Square of 125: 15,625

The square root is an inverse mathematical operation of a square. The square root of 125 is the value that is acquired after taking the square root of 125. √125 = 11.1803398875 The simplified radical type of square root of 125 is 5 √5.

Is the Square Root of 125 Rational or Irrational?

It isn't imaginable to seek out this kind of entire number which on squaring provides 125 It can be roughly written as a square of 11.180, which is a non-recurring and non-terminating decimal quantity. This presentations it isn't an excellent square, which additionally proves that the square root of 125 is an irrational quantity.

How to Find the Square Root of 125?

There are many learn how to evaluate the square root of 125. Let us take a look at the high factorization and the long division way here.

Square Root of 125 by means of Prime Factorization

To simplify the square root of 125, let us first express 125 as a manufactured from its prime factors. The high factorization of 125 is 5 × 5 × 5. The square root of 125 is 5 √5.

Square Root of 125 via Long Division Method Step 1: Starting from the appropriate, we will be able to pair up the digits through hanging a bar above them.We may have two pairs, i.e., 1 and 25 Step 2: We divide the left-most quantity by the most important number whose square is lower than or equal to the quantity in the left-most pair. Step 3: Double the divisor and input it with a clean on its right. Guess the largest possible digit to fill the clean which will even turn into the new digit within the quotient, such that after the brand new divisor is multiplied to the new quotient the product is not up to or equal to the dividend. Divide and write the remainder. Step 4: Repeat this process to get the decimal places you wish to have.

Thus √125 = 11.1803398875

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Important Notes:

The prime factorization approach is used to jot down the square root of a non-perfect square number in the simplest radical shape. For example: 45 = 3 × 3 × 5= 32 × 5. 125 isn't an ideal square; therefore its square root is an irrational number. This concludes that the square root of any quantity "n," which isn't an ideal square, will all the time be an irrational number. The square root of 125 within the radical shape is expressed as 5√5.

Think Tank:

How will Sam in finding the square root of seventy five and the square root of 25 the use of the lengthy department approach up to 3 decimal places? Is √-125 a real number?