The square source of 17 is expressed together √17 in the radical type and together (17)½ or (17)0.5 in the exponent form. The square source of 17 rounded as much as 7 decimal areas is 4.1231056. It is the hopeful solution the the equation x2 = 17.

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What Is the Square source of 17?


√17 = 4.123 ×4.123

Is the Square root of 17 reasonable orIrrational?

The square root of 17 is either 4.12310562562 or (-4.12310562562)Both the numbers cannot be stood for in the type of a reasonable number and also have a non end non-repeating decimal trail.Thus, the square root of 17 is irrational.

How to discover the Square source of 17?


The square source of a numbercan be calculatedusing different methods:

Prime FactorizationLong department methodand by approximation

√17 can not be simplified any further.

Square root of 17 by Long department Method

Step 1 :Write 17 as displayed in the figure. Begin grouping the number in pairs from the appropriate end. Because that 17, both the numbers will be group under one bar.Step 2:Find the biggest number, which, when multiplied through itself, will give 17 or a smallernumber closest to 17. 4 is the required number.Step 3 :Divide 17 by 4Step 4:We obtain the remainder as 1 in this step. Now, location 3 bag of zeros ~ the decimal suggest and proceed the lengthy division. Carry one pair that zeros down.Add the quotient 4 to the divisor, i m sorry is likewise 4. Thus, 8will be inserted as the brand-new divisor ~ above the tens place, with a blank on one's place. This empty will be filled through a number which when multipliedwith the quotient, will give the result 100 or a smaller number closest to 100. Here, ( 81 ×1 = 81) is the closest come 100. So 1 will be placed on the blank place.Step 5:The remainder the this action is 19. Now, carry down the second pair of zeros. Repeating the above step, the quotient native the ahead step, i m sorry is 1, will be added to the divisor native the previous action (81). 82 together with a blank ondigit in oneswill it is in the brand-new divisor. Keep in mind that we will certainly not usage the finish quotient, but only the previous step quotient.Step 6:We will repeat the process of Step 4. As822 ×2 = 1644is the closest come 1900. Again follow the same procedure for the remainder 256 by pass down one more pair that zeros down. So, the approximate worth of √17 = 4.123

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Explore Square roots utilizing illustrations and interactive examples


Challenging Questions:


Jenny has a square table that has actually an area of 17square inches. She covered it with a table towel of area 25square inches.How numerous inchesdoes the fabric hang around the table on each side?

Important Notes:


The square source of 17 is expressed together √17 in the radical type and together 171/2in exponential form.The square source of a number is both an adverse and positive for the same numerical value i.e., the square source of 17 will be both + 4.12310562562 or- 4.1231056256217 lies between 16and 25. So√17lies between √16 and also √25The element factorization method is offered to write a square source of a non-perfect square number in the easiest radical form.

Example 2 :Kim is spanning her square-shaped toilet floor through tiles. If there space a complete of 20 squared tiles and also the area the the bathroom floor is 340 square inches, uncover the length of each side of a solitary tile.?

Solution:

We know, every side of square = AreaWe will use the same principle to uncover the dimension of each tile.Area of restroom = the area that 20tiles, i m sorry is given as 340 square inches.Area of every tile = 340÷20 = 17 square inchesLength of every side of tile = √17= 4.1231 inches


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FAQs ~ above the Square source of 17

What is the worth of the Square root of 17?

The square source of 17 is 4.1231.

Why is the Square source of 17 one Irrational Number?

The number 17 is prime. This implies that the number 17 is pairless and also is not in the power of 2. Therefore, the square root of 17 is irrational.

Evaluate 17 add to 15 square root 17

The given expression is 17 + 15 √17. We recognize that the square source of 17 is 4.123. Therefore, 17 + 15 √17 = 17 + 15 × 4.123 = 17 + 61.847 = 78.847

What is the Square source of 17 in easiest Radical Form?

The number 17 is a prime number. This indicates that the number 17 is pairless and is no in the power of 2. Therefore, the radical type of square source of 17 can not be streamlined further.

What is the worth of 1 square root 17?

The square source of 17 is 4.123. Therefore, 1 √17 = 1 × 4.123 = 4.123.

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Is the number 17 a Perfect Square?

The number 17 is prime. This indicates that the square source of 17 can not be expressed together a product of two equal integers. Therefore, the number 17 is no a perfect square.