Irrational numbers Quiz 1

Question 1

Write the value of $$x$$ where $$ \ x={}^{3}\sqrt{\dfrac{2744}{1331}}+{}^{4}\sqrt{\dfrac{1296}{2401}}$$.

Accepted Answer

$$\dfrac{164}{77}$$

Answer

$$\dfrac{12}{19}$$

Answer

$$\dfrac{5}{11}$$

Answer

$$\dfrac{6}{17}$$

Question 2

Which of the following must not be an irrational number?

Accepted Answer

$$\sqrt{361}+\sqrt{169}$$

Answer

$$\sqrt{\dfrac{144}{117}}$$

Answer

$$\dfrac{2}{\sqrt{19}}$$

Answer

$$4+\sqrt{11}$$

Question 3

Let $$T\,=\,\dfrac{p}{q}\left( q
e 0 ight)$$ and $$p\,,\,q$$ are integers is a rational number. Also, let $$m$$ is an irrational number. Then which type of number is $$T+M$$?

Accepted Answer

Irrational number

Answer

Rational number

Answer

Real number

Answer

Natural number

Question 4

Let $$\dfrac{6}{\sqrt{119}-\sqrt{117}}=k\left[ \sqrt{119}+\sqrt{y} \right]$$. Write the value of $$2k\,+\,3y.$$

Accepted Answer

$$357$$

Answer

$$258$$

Answer

$$459$$

Answer

$$621$$

Question 5

Let $$Q=\sqrt{\dfrac{7}{3}}\,+\,\sqrt{\dfrac{5}{2}}.$$ Then write the value of $$Q+\,\dfrac{1}{Q}$$.

Accepted Answer

$$7\sqrt{\dfrac{5}{2}}-5\sqrt{\dfrac{7}{3}}$$

Answer

$$7\sqrt{\dfrac{2}{3}}-6\sqrt{\dfrac{1}{5}}$$

Answer

$$6\sqrt{\dfrac{5}{2}}-4\sqrt{\dfrac{7}{3}}$$

Answer

$$6\sqrt{\dfrac{3}{2}}-5\sqrt{\dfrac{4}{5}}$$