root of 17 Sqrt 17 is an irrational number That is it is not expressible in the form p q for some integers p and q with q 0 sqrt 17 is irrational essentially as a consequence of 17 being prime that is having no positive factors apart from 1 and itself Here s a sketch of a proof Suppose sqrt 17 p q for some integers p q with q 0 Without loss of
Explanation Actually 17 has two square roots We call the positive one 17 4 123 The negative one is 17 4 123 sqrt 17 4 123 is the number which when squared gives 17 It is an irrational number That is it cannot be expressed as p q for integers p and q with q 0 Actually 17 has two square roots Home keyboard arrow right Questions Answers Forum arrow back Academic Questions Answers Forum
root of 17
root of 17
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What Is The Square Root Of 17 YouTube
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Locate Root 17 On Number Line
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Honest answer get a calculator type in 17 then hit the square root button however for a manual mechanical process see below Find the largest integer which when squared is not greater than the number for which you are trying to find the square root Since in this case the number for which we are trying to find the square root is 17 the Explanation Square roots of prime numbers are irrational Answer link iOS
When you have a root square root for example in the denominator of a fraction you can remove it multiplying and dividing the fraction for the same quantity The idea is to avoid an irrational number in the denominator Consider 3 sqrt2 you can remove the square root multiplying and dividing by sqrt2 3 sqrt2 sqrt2 sqrt2 Explanation Since 187 11 17 187 17 187 17 11 17 17 11 Answer link iOS
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1 Answer The equation x2 17 has two solutions which are the square roots of 17 The principal square root of 17 is the positive one which is what we mean when we write 17 17 is an irrational number That is it cannot be represented as p q for some integers p and q As a result its decimal expansion does not eventually terminate or Guess what the square root of the irrational number is For example if your irrational number is 2 you might guess 1 2 Divide the initial irrational number by the guessed number For example 2 divided by 1 2 is 1 67 Add the resulting sum to the original guessed number For example 1 67 plus 1 2 is 2 87
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