Kyrie plans on make a square-shaped half basketball court in his backyard. He retained the area that the court as 144 square feet. Now he is trying to number out the political parties of the court. For determining the side of a square-shaped object, one should uncover the square root of the given area. The square source of 144 is the number (Integer) which when multiplied by itself outcomes in 144. In this mini-lesson, we will certainly calculate the square source of 144 by element factorization and long division method along with a couple of interesting problems.
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|1.||What Is the Square root of 144?|
|2.||Is the Square root of 144 rational or Irrational?|
|3.||How to uncover the Square root of 144?|
|4.||Important notes on Square root of 144|
|6.||FAQs ~ above Square source of 144|
What Is the Square source of 144?144 = a × a = 122Then a = √144 = √(12 × 12)12 × 12 = 144 or -12 × -12 = 144The square root of 144 is +12 or -12This mirrors that 144 is a perfect square.
Is Square root of 144 rational or Irrational?
12 and also -12 have the right to be composed as 12/1 and also -12/1Both numbers deserve to be to express in the type of rational numbers.So, the square root of 144 is a reasonable number.
How to uncover the Square root of 144?
The square the 144 can be calculated using the element factorization method, long division method, or repeated subtraction method.
Square source of 144 by element Factorization Method
The following steps can be adhered to to uncover the square root of 144 utilizing prime factorization:
Step 1. identify the element factors of 144.144 = 2 × 2 × 2 × 2 × 3 × 3144 = 24 × 32
Step 2. group the prime determinants of 144 in pairs.144 = 22 × 22 × 32
Step 3. pick one aspect from every pair and the square root of 144 have the right to be composed as:√144 = √(22 × 22 × 32)√144 = √(2 × 2 × 3)2√144 = ((2 × 2 × 3)2)1/2 = ±(2 × 2 × 3)√144 = ±12
Square root of 144 by long Division
Follow the actions shown listed below to discover the square source of 144 by long division.
Step 1. Write 144 as presented in the figure. Start pairing the number in bag of 2 digits from the right finish by putting a bar on height of them. The unpaired number left in the left deserve to be treated as a solitary entity as shown below. In the instance of 144, 44 will be grouped under one bar and also 1 under the second bar.
Step 2. uncover a number which when multiplied by itself outcomes in a number same to or much less than 1.
Step 3. carry down the following pair the numbers. Here it is 44.Multiply the quotient 1 through 2 (or add with itself) and also write it together the brand-new divisor’s ten’s ar digit.
Step 4. choose a number because that the unit’s location of the divisor together that once it is multiplied v the new divisor, that will give 44 or a smaller number closest come 44.Here the number is 22 as 22 × 2 = 44.
Explore square roots making use of illustrations and also interactive examples.
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The square source of 144 is represented as √144 in radical form and together (144)1/2 in exponential form.The square source of any number is both an adverse and confident for the very same numerical value. The square root of 144 is +12 and also -12.
Jason is to run on a square ground with an area the 144 square feet. How much more he would need to run if later he desires to run on a square ground of area 441 square feet?