Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.

$\frac{6}{\sqrt{6}}$

Fill in the blanks so as to make each of the following statements true (Final answer only)

$\sqrt[11]{1}=\ldots \ldots$

Classify the following numbers as rational or irrational with justification:

$(i)$ $\sqrt{196}$

$(ii)$ $3 \sqrt{18}$

Locate $\sqrt{5}, \sqrt{10}$ and $\sqrt{17}$ on the number line.

The value of $1.999 ....$ in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0,$ is

Find which of the variables $x, y, z$ and $u$ represent rational numbers and which irrational numbers:

$(i)$ $x^{2}=5$

$(ii)$ $\quad y^{2}=9$

$(iii)$ $z^{2}=.04$

$(iv)$ $u^{2}=\frac{17}{4}$