Algebra -> Real-numbers-> SOLUTION: is the square root of 42 rational or irrational numbers Log On Algebra: Real numbers, Irrational numbers, etc Section. It is an irrational number if it is not a perfect square. the value of square root of 42 is a (rational or irrational). Step-by-step explanation:The square root of 42 is a rational number if 42 is a perfect square. Basically, an irrational number is a number that can't be expressed as a fraction, like pi or like the square root of 2. Such as \bf{\frac{4}{5}}. Lessons Lessons. This means that the answer to "the square root of 208?" Rational,Irrational,Natural,Integer Property Calculator Enter Number you would like to test for, you can enter sqrt(50) for square roots or 5^4 for exponents or 6/7 for fractions Rational,Irrational… This is because 6 x 6 = 36 and 7 x 7 = 49, so 42 is between those two numbers. Solvers Solvers. A rational number of this form, can be squared. I got some good news, and some bad news. its value is between (3 and 5, 5 and 7, 7 and 9) - 3538567 Well first of all 42 is the answer to life, the universe, and everything, so this question is kind of obsolete. Any number that is not a perfect square is irrational, therefore 42 is irrational Just kidding lol. The square root of 208 is a rational number if 208 is a perfect square. The square root of 42 is irrational, because 42 is not a perfect square, meaning no number times itself will equal 42. Prime Factors can help determine if a number will have a square root that is rational or irrational. It is an irrational number if it is not a perfect square. Since 4… A rational number, is a number that can always be written as a fraction/quotient of integers. The good news is that the square root of a whole number is rational precisely when it is an integer. There is a simple proof for the irrationality of [math]\sqrt 3[/math]. Since 208 is not a perfect square, it is an irrational number. will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction. Yes, [math]\sqrt{12}=2\sqrt 3[/math] is irrational. But 42, 24, and 84 are all rational numbers. (\bf{\frac{4}{5}}) 2 = \bf{\frac{4^2}{5^2}} = \bf{\frac{16}{5^2}} Put into Prime Factor form.