The square root of 16 is expressed together √16 in the radical form and together (16)½ or (16)0.5 in the exponent form. The square source of 16 is 4. The is the hopeful solution the the equation x2 = 16. The number 16 is a perfect square.
You are watching: Is square root of 16 a rational number
|1.||What Is the Square root of 16?|
|2.||Is Square source of 16 Rational or Irrational?|
|3.||How to discover the Square source of 16?|
|4.||FAQs top top Square source of 16|
The square source of a number is the number that gets multiplied to chin to offer the product. For any two real numbers a and b,
a2 = b
a = √b
The above expression method that a is the 2nd root or square root of b. The square root of 16 method that number which as soon as multiplied with itself will give the result as 16. The definition above have the right to be stood for as,
Square root of 16 = √16
42 = 4 × 4 is 16Here 4 is referred to as the square source of 1616 is a perfect square.So the square root 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 deserve to be expressed in the kind of a quotient or division of 2 integers i.e., p/q, whereby q = 0. In the over section, us observed diagrammatically that the square root of 16 is either 4 or (-4) Both the numbers deserve to be stood for in the form of a reasonable number i.e., 4/1 and -(4/1) respectively.√16 = 4 = 4/1Thus, the square source of 16 is rational.So √16 is an irrational number.
How to discover the Square source of 16?
The square source of 16 deserve to be calculated using different methods: prime Factorization and also Long division method. Let united state see just how it is calculated using Prime Factorization:
Square source of 16 by element Factorization
Following steps deserve to be adhered to using element factorization:Step 1. Determine the prime factorization of 16 16 = 2 × 2 × 2 × 216 = 2 × 2Step 2. Group the prime factors derived for 16 in pairs.Step 3. Pick one aspect from each pair and also they have the right to be created in the form: Step 4. Thus, adhering to the law of exponents, us get,
√16 = √ (2 × 2)2
√16 = (42)½ = 4
Let united state now try finding the square root of 16 by the long department method!
Square root of 16 By Long Division
Here are the procedures that need to be followed to calculate the square root of 16:Step 1. Write 16 as displayed in the figure. Begin grouping the number in pairs from the right end. For 16, both the numbers will be grouped under one bar. Step 2. Find the biggest number that when multiplied with itself will give 16 or a smaller number closest to 16. 4 is the required number.Step 3. Perform department on the dividend 16, using 4 together the divisor.Step 4. The quotient obtained from the long department is the square source of 16
Explore Square roots using illustrations and interactive examples
Think Tank:Jenny has a square table that has an area that 16 square inches. She spanned it through a table fabric of area 25 square inches. How countless inches does the towel hang over the table on each side if placed centered?
Important Notes:The square source of 16 is to express as √16 in the radical form and as 161/2 in exponential form.The square root of a number is both an unfavorable and hopeful for the same numerical value i.e., the square root of 16 will be 4.
Example 1: Noah has actually a bag filled through cubes. 9 of them room green and 7 are orange. If she renders a square arranging lock together, how numerous bricks will be on every side?
Total cubes provided by noah to do a square surface plan = 9 + 7 = 16 cubesNumber that cubes on every side that square = √Total cubes required to do the squareCubical bricks on each side of the cube = √16 = √ (4 × 4) = 4Since the number of cubes provided cannot it is in negative, practically, we will only take the confident value.Hence, bricks on each side the the square = 4
Example 2: Jake had arranged 16 flower tree in a square bed. He acquired some extra flower plants and do the efforts to save the flower bed plan square after adding them. If the total variety of flower tree in the brand-new bed is 36, how countless extra tree are added in each row?
We know, each side that the square = √AreaWe will use the same concept to discover the flower in each row.Initially with 16 flower plants, flower tree in each row = √16 = 4 flowersWe overlook the an adverse value the the square root once it is virtually not applicable. Therefore, we did not usage - 4 value in this example.For the plan with 36 flowers, flower tree in each heat = √36 = 6 flowersThus, extra flowers included in every row = 6 - 4 = 2 flowers
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FAQs ~ above the Square source of 16
What is the worth of the Square source of 16?
The square root of 16 is 4.
Why is the Square root of 16 a reasonable Number?
Upon prime factorizing 16 i.e. 24, we discover that every the prime components are in also power. This suggests that the square source of 16 is a positive integer. Therefore, the square root of 16 is rational.
Evaluate 19 to add 17 square source 16
The provided expression is 19 + 17 √16. We recognize 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 element factorization of 16 = 24. Here, every the numbers are in the strength of 2. This implies that the square root of 16 is a hopeful 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 source of 16 is 4. Find the value of the Square source of 0.16.
Let us stand for √0.16 in p/q kind i.e. √(16/100) = 4/10 = 0.4. Hence, the value of √0.16 = 0.4