Represent the number on a number line

MATHEMATICS · Subjective · CBSE · Mathematics · A Square and A Cube · A Square and A Cube

Problem

Represent the number

\sqrt{\dfrac{45}{4}}

on a number line. (i) Explain how you would first mark the rational number

\dfrac{45}{4}

on the line, showing the scaling you have chosen. (ii) Give the complete geometric construction for locating

\sqrt{\dfrac{45}{4}}

and label the required point

P

. (iii) Using a ruler, write the decimal value of the coordinate of

P

correct to two decimal places.