Question

Represent root 45 on number line????

Answer 1

SOLUTION

TO DETERMINE

Represent √45 on number line

EVALUATION

Here the given number is √45

We now represent √45 on number line as below :

Step : 1

Draw a number line

Step : 2

Take 3 unit as base and 6 unit in perpendicular direction

AB = 3 unit and AC = 6 unit

Step : 3

Measure BC

By Pythagorean Theorem we get

BC

$\sf{ = \sqrt{ {3}^{2} + {6}^{2} } \: \: unit }$

$\sf{ = \sqrt{9 + 36 } \: \: unit }$

$\sf{ = \sqrt{45} \: \: unit }$

Step : 4

Represent √45 on number line

Measure BC and represent in number line

We see that AD measure the same as BC

AD = 6.7 ( approx)

FINAL ANSWER

$\boxed{ \: \: \sf{ \sqrt{45} = 6.7} \: \: }$

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