Question

Root 12 + root 10 minus root 2 is option A A Positive rational number option B equal to zero and irrational number option d negative integer

Answer 1

C. an irrational number

$\sqrt{12}+\sqrt{10}-\sqrt{2}$ is an irrational number.

Step-by-step explanation:

• Rational Number: The number which can be expressed in the form $\dfrac{a}{b}$, where a, b are integers with non-zero b, is called a Rational Number. For example, $\dfrac{2}{3}$, $\dfrac{7}{8}$, etc.

• Irrational Number: The numbers which cannot be expressed in the form $\dfrac{a}{b}$, are called Irrational Numbers. For example, $\sqrt{5}$, $\sqrt{13}$, etc.

• We must know that the sum of two or more irrational numbers is irrational. Also, when we perform subtraction between two irrational numbers, the result is also irrational.

• So, $\sqrt{12}+\sqrt{10}$ is irrational and thus $\sqrt{12}+\sqrt{10}-\sqrt{2}$ is also irrational.

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