Math, asked by swayogsonawane1, 9 months ago

Practice Set 1.4
The number is shown on a number line. Steps are given to show V3 on
the number line using 2. Fill in the boxes properly and complete the activity.
5​

Answers

Answered by paulmrinal01
12

Answer:

Maharashtra Board Class 8 Maths Solutions Chapter 1 Rational and Irrational Numbers Practice Set 1.4

August 8, 2019 by Laxmi

Maharashtra State Board Class 8 Maths Solutions Chapter 1 Rational and Irrational Numbers Practice Set 1.4

Question 1.

The number √2 is shown on a number line. Steps are given to show √3 on the number line using √2. Fill in the boxes properly and complete the activity.

Maharashtra Board Class 8 Maths Solutions Chapter 1 Rational and Irrational Numbers Practice Set 1.4 1

The point Q on the number line shows the number ……….

A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.

Right angled ∆OQR is obtained by drawing seg OR.

l(OQ) = √2, l(QR) = 1

∴By Pythagoras theorem,

[l(OR)]² = [l(OQ)]² + [l(QR)]²

Maharashtra Board Class 8 Maths Solutions Chapter 1 Rational and Irrational Numbers Practice Set 1.4 1.1

Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number √3

Solution:

The point Q on the number line shows the number √2

A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.

Right angled ∆OQR is obtained by drawing seg OR.

l(OQ) = √2, l(QR) = 1

∴By Pythagoras theorem,

[l(OR)]² = [l(OQ)]² + [l(QR)]²

Maharashtra Board Class 8 Maths Solutions Chapter 1 Rational and Irrational Numbers Practice Set 1.4 1.2

.. .[Taking square root of both sides]

Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number √3.

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