Math, asked by sumathisen84, 5 months ago

locate root 3 on the number line​

Answers

Answered by mymoon3413
3

Step-by-step explanation:

this is the correct answer

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Answered by lAnniel
4

\huge{\underline{\sf{Question :-}}}}

1. Locate  \sqrt{3} on the number line.

\huge{\underline{\sf{Answer :-}}}}

✏ We can locate  \sqrt{3} on the number line by using the Pythagoras theorem.

\red{\underline\bold{We \:know,}}

\purple{\underline\bold{By\:the\:pythagoras\:theorem,}}

\boxed{ \sf \green{ (Hypotenuse)2\: = \: (Base)2 \:+\: (Height)2 }}

⇒Hypotenuse =\sqrt{(Base)2+(Height)2}

⇒Hypotenuse =\sqrt {(1)2+\sqrt{(2)2}}

⇒Hypotenuse = \sqrt {1+2}

⇒Hypotenuse =  \sqrt{3}

  • ✏ For finding  \sqrt{3} on the number line, first of all we have to locate \sqrt{2} on the number line.
  • ✏ After locating  \sqrt{2} on the number line, we can locate \sqrt{3} on the number line .

( Refer the given attachments for diagram.)

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