root 45 on number line
Answers
Answer:
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 }=
3
2
+6
2
unit
\sf{ = \sqrt{9 + 36 } \: \: unit }=
9+36
unit
\sf{ = \sqrt{45} \: \: unit }=
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} \: \: }
45
=6.7
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