0

Guest

Courses New

Construct 17−−√ on the number line.

Construct 17−−√ on the number line.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
Hint: We know that 16−−√=4 and 17−−√=42+12−−−−−−√. Squaring both sides of the expression and constructing it on a number line. Follow the steps to represent the number on a number line and get the required figure. Complete step by step answer: The number system represents the numbers on a number line. Number system is a very useful and important concept in mathematics to represent the numbers on a number line. All types of numbers like natural numbers, whole numbers, rational numbers, Integers are represented on a number line. All the numbers natural numbers, whole numbers, rational numbers, integers are collectively called as real numbers A number line is a line that serves as an abstraction of real numbers. Every point on a number line is assumed as a real number. The numbers on a number line are placed at equal intervals. According to the question it is given that the number is 17−−√. Here, 17−−√can be written as, ⇒17−−√=42+12−−−−−−√ ⇒17−−√=16+1−−−−−√ Squaring on both sides, ⇒(17−−√)2=42+12 Now, Construct 17−−√ on a number line, Step 1: Draw a number line with equal marks on either side. Step 2; Consider a point O at zero. Step 3: Mark a point A at 4 such that OA is 4. Step 4: Construct AB of unit length. Step 4: Join AB Step 5: Take OB as radius and intersect the number line at C. Step 6: Finally, C represents 17−−√ Note: Follow the steps carefully. If you miss any step in constructing the number on a number line, then you will get a wrong answer. A number line can extend infinitely in any direction. The left side of the number line is called the negative side and the right side is called the positive side.

Think You Can Provide A Better Answer ?

Other Related Questions on 9 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More