The square root of 16 is expressed as √16 in the radical kind and as (16)½ or (16)0.5 in the exponent form. The square root of 16 is 4. The is the hopeful solution the the equation x2 = 16. The number 16 is a perfect square.
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|1.||What Is the Square root of 16?|
|2.||Is Square source of 16 Rational or Irrational?|
|3.||How to uncover the Square source of 16?|
|4.||FAQs on Square source of 16|
The square source of a number is the number that gets multiplied to itself to provide the product. For any two genuine numbers a and also b,
a2 = b
a = √b
The above expression means that a is the second root or square source of b. The square source of 16 means that number which when multiplied v itself will give the an outcome as 16. The definition above deserve to be represented as,
Square source of 16 = √16
42 = 4 × 4 is 16Here 4 is referred to as the square root of 1616 is a perfect square.So the square source of 16 is 4. The square root of 16 is the inverse procedure of squaring 4 and -44 × 4 = 16(-4) × (-4) = 16
Is the Square source of 16 Rational or Irrational?
A rational number is identified as the number that have the right to be express in the kind of a quotient or division of two integers i.e., p/q, whereby q = 0. In the above section, us observed diagrammatically that the square source of 16 is either 4 or (-4) Both the numbers can be stood for in the kind of a reasonable number i.e., 4/1 and also -(4/1) respectively.√16 = 4 = 4/1Thus, the square root of 16 is rational.So √16 is an irrational number.
How to uncover the Square root of 16?
The square source of 16 deserve to be calculated using various methods: element Factorization and also Long division method. Let us see how it is calculated utilizing Prime Factorization:
Square root of 16 by prime Factorization
Following steps deserve to be complied with using element factorization:Step 1. Determine the prime factorization that 16 16 = 2 × 2 × 2 × 216 = 2 × 2Step 2. Group the prime factors acquired for 16 in pairs.Step 3. Pick one aspect from each pair and also they have the right to be composed in the form: Step 4. Thus, complying with the legislation of exponents, we get,
√16 = √ (2 × 2)2
√16 = (42)½ = 4
Let us now try finding the square source of 16 by the long division method!
Square source of 16 By Long Division
Here room the measures that have to be followed to calculate the square source of 16:Step 1. Write 16 as presented in the figure. Start grouping the number in bag from the right end. Because that 16, both the numbers will be grouped under one bar. Step 2. Find the largest number that when multiplied v itself will offer 16 or a smaller number closest come 16. 4 is the forced number.Step 3. Perform department on the dividend 16, utilizing 4 together the divisor.Step 4. The quotient derived from the long division is the square root of 16
Explore Square roots making use of illustrations and interactive examples
Think Tank:Jenny has actually a square table that has actually an area of 16 square inches. She covered it through a table fabric of area 25 square inches. How many inches does the towel hang over the table on every side if placed centered?
Important Notes:The square root of 16 is expressed as √16 in the radical kind and as 161/2 in exponential form.The square root of a number is both negative and hopeful for the exact same numerical worth i.e., the square root of 16 will be 4.
Example 1: Noah has a bag filled through cubes. 9 of them room green and 7 are orange. If she renders a square arranging them together, how many bricks will be on every side?
Total cubes offered by noah to make a square surface setup = 9 + 7 = 16 cubesNumber of cubes on each side that square = √Total cubes required to make the squareCubical bricks on every side of the cube = √16 = √ (4 × 4) = 4Since the variety of cubes provided cannot be negative, practically, we will just take the optimistic value.Hence, bricks on each side the the square = 4
Example 2: Jake had actually arranged 16 flower tree in a square bed. He got some extra flower plants and do the efforts to keep the flower bed arrangement square after including them. If the total number of flower plants in the brand-new bed is 36, how many extra plants are added in every row?
We know, every side the the square = √AreaWe will usage the same principle to find the flowers in every row.Initially with 16 flower plants, flower tree in each heat = √16 = 4 flowersWe neglect the an unfavorable value that the square root when it is almost not applicable. Therefore, we did not use - 4 worth in this example.For the plan with 36 flowers, flower tree in each row = √36 = 6 flowersThus, extra flowers included in every row = 6 - 4 = 2 flowers
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FAQs on the Square source of 16
What is the worth of the Square root of 16?
The square source of 16 is 4.
Why is the Square root of 16 a reasonable Number?
Upon prime factorizing 16 i.e. 24, we find that all the prime components are in also power. This indicates that the square root of 16 is a hopeful integer. Therefore, the square root of 16 is rational.
Evaluate 19 to add 17 square root 16
The offered expression is 19 + 17 √16. We know that the square source of 16 is 4. Therefore, 19 + 17 √16 = 19 + 17 × 4 = 19 + 68 = 87
Is the number 16 a Perfect Square?
The prime factorization of 16 = 24. Here, every the numbers are in the strength of 2. This indicates that the square source of 16 is a confident integer. Therefore, 16 is a perfect square.
What is the value of 17 square root 16?
The square source of 16 is 4. Therefore, 17 √16 = 17 × 4 = 68.
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If the Square root of 16 is 4. Uncover the value of the Square source of 0.16.
Let us represent √0.16 in p/q type i.e. √(16/100) = 4/10 = 0.4. Hence, the worth of √0.16 = 0.4