Mathematics
Irrational numbers
Practice questions
Which option gives the correct value and type of ((\sqrt{3}+1)(\sqrt{3}-1))?Which option gives the correct general conclusion for the difference of a rational and an irrational number?What is (\sqrt{75}+\sqrt{12}) equal to and what is its type?Which option explains why (\sqrt{p}) is irrational when (p) is a prime number?If (x=\sqrt{10}) then what type of number is (x^2)?Which option correctly describes (\frac{\sqrt{45}}{3})?Which option gives the correct form and type of (\sqrt{2}+\frac{1}{\sqrt{2}})?Which number is irrational and lies between (1) and (2)?If (a+b\sqrt{2}=0) where (a) and (b) are rational and (b\neq 0) then what conclusion follows?Which option correctly describes (\sqrt{32}+\sqrt{50}-\sqrt{18})?Which option shows that adding an irrational number to an irrational number can give a rational result?Which number is irrational but its square is rational?Which option gives the correct value of (\sqrt{2}\sqrt{8}+\sqrt{3}\sqrt{12})?If (x=\sqrt{3}-\sqrt{2}) then which statement about (x) is correct?Which option correctly writes (\frac{2}{\sqrt{5}+1}) with a rational denominator?Which option correctly describes (\sqrt{0.04})?Which option correctly describes (\sqrt{\frac{2}{9}})?Which option is a correct decimal example of an irrational number?If (\sqrt{x}) is irrational then which conclusion is always correct?Which option is related to a proper method of locating (\sqrt{2}) on the number line?