is the square root of 25 36 a rational number

is the square root of 25 36 a rational number 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

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 Only a rational number can we know and name exactly An irrational number we can know only as a rational approximation For the decimal representation of both irrational

is the square root of 25 36 a rational number

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is the square root of 25 36 a rational number
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Let me explain Squaring a Rational Number First let us see what happens when we square a rational number If the rational number is a b then that becomes a 2 b 2 when Square roots of perfect squares are always whole numbers so they are rational But the decimal forms of square roots of numbers that are not perfect

Rational numbers include perfect squares such as 4 9 16 25 36 and so on Irrational numbers include surds numbers that cannot be simplified in a manner that removes the Rational Numbers A Rational Number can be made by dividing an integer by an integer An integer itself has no fractional part Example 1 5 is a rational number because 1 5

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Square roots of perfect squares are always whole numbers so they are rational But the decimal forms of square roots of numbers that are not perfect squares never stop and never repeat so Is the square root of a number a rational number The square root of a number can be a rational or irrational number depending on the condition and the

When you see a number expressed in square root form like 2 or 49 some are rational and some are irrational Perfect squares integers that can be Answer link See a solution process below We can write this expression as sqrt 25 36 We can then rewrite it as sqrt 25 sqrt 36 5 6

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is the square root of 25 36 a rational number - Suppose that frac a b has a rational square root Then there exists an integer e and integers m and n such that a em 2 and b en 2 Proof It is enough to