Represent geometrically numbers on the number line:
$\sqrt{2.3}$
Represent geometrically numbers on the number line:
$\sqrt{2.3}$
Mark the distance $2.3$ units from a fixed points $A$ on a given line to obtain a point $B$ such that $AB =2.3$ units. From $B$ mark, a distance of $1$ unit and mark the new point as $C$. Find the mid-point of $AC$ and mark that point as $0 .$ Draw a semicircle with centre $0$ and radius $OC.$ Draw a line perpendicular to $AC$ passing through $B$ and intersecting the semicircle at $D.$ Then, $B D=\sqrt{2.3}$.
Now, draw an arc with centre $B$ and radius $BD$, which intersects the number line in $E$. Thus,$E$ represents $\sqrt{2.3}$
Similar Questions
Find three different irrational numbers lying between $\sqrt{3}$ and $\sqrt{5}$.
Find three different irrational numbers lying between $\sqrt{3}$ and $\sqrt{5}$.
Represent geometrically numbers on the number line:
$\sqrt{4.5}$
Represent geometrically numbers on the number line:
$\sqrt{4.5}$
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.
$\frac{6}{\sqrt{6}}$
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.
$\frac{6}{\sqrt{6}}$
Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{196}$
$(ii)$ $3 \sqrt{18}$
Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{196}$
$(ii)$ $3 \sqrt{18}$
Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0 .$
$0.5 \overline{7}$
Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0 .$
$0.5 \overline{7}$