square root of 4 9 rational or irrational The square root of a number can be a rational or irrational number depending on the condition and the number If the square root is a perfect square then it would be a rational number On the other side if the square root of the number is not perfect it will be an irrational number i e 10 3 16227766017
Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor Some square roots are rational whereas others are not You can work out if a square root is rational or not by finding out if the number you are square rooting can be expressed in terms of only even exponents e g 4 2 2 1 2 If it can its root is rational
square root of 4 9 rational or irrational
square root of 4 9 rational or irrational
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Question Video Properties Of Rational Number Nagwa
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How about square root of 4 4 is 4 1 2 2 Yes The exponent is an even number So 4 can be made by squaring a rational number The square root of 4 is rational The square root calculator finds the square root of the given radical expression If a given number is a perfect square you will get a final answer in exact form If a given number is not a perfect square you will get a final answer in exact form and decimal form
2 is irrational When you multiply the square roots 2 and 3 the answer is 6 which is also irrational When you multiply 2 and 2 the answer is 4 which is a perfect square and a rational number Rational or Irrational calculator finds the nature of the number either it is rational or irrational by dividing the numbers or taking the square root
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Free Square Root calculator Find square roots of any number step by step Find the square root or the two roots including the principal root of positive and negative real numbers Calculate the positive principal root and negative root of positive real numbers Also tells you if the entered number is a perfect square
Say sqrt 4 is rational Then sqrt 4 can be represented as frac a b where a and b have no common factors So 4 frac a 2 b 2 and 4b 2 a 2 The square root of 4 9 is rational To determine if a number is rational or irrational we need to check if it can be expressed as a fraction of two integers In this case 4 9 can be simplified to 2 3 which is a fraction of two integers
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square root of 4 9 rational or irrational - The square root calculator finds the square root of the given radical expression If a given number is a perfect square you will get a final answer in exact form If a given number is not a perfect square you will get a final answer in exact form and decimal form