Question

show square root of 5 can be represented on the number line​

Answer 1

Lᴇᴀʀɴ ʜᴏᴡ ᴛᴏ ᴅʀᴀᴡ ᴡʜɪᴄʜ ɪs sʜᴏᴡɴ ɪɴ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ:

• Tᴀᴋᴇ ᴀ Sᴄᴀʟᴇ ᴀɴᴅ ᴅʀᴀᴡ ᴀ ʟɪɴᴇ sᴇɢᴍᴇɴᴛ..
• Mᴀᴋᴇ ᴀ ᴘᴏɪɴᴛ O ᴀs ᴏʀɪɢɪɴ ᴀɴᴅ ᴀᴛ ᴛʜᴇ ᴘᴏɪɴᴛ O ᴛᴀᴋᴇ 2 ᴄᴍ ᴀɴᴅ ᴘᴏɪɴᴛ ᴀs A..
• Tᴀᴋᴇ ᴀ sᴇᴛ sǫᴜᴀʀᴇ ᴀɴᴅ ᴘᴜᴛ ɪᴛ ᴏɴ ᴘᴏɪɴᴛ A ᴀɴᴅ ᴅʀᴀᴡ ʟɪɴᴇ ᴏғ 2 ᴄᴍ ᴀɴᴅ ᴊᴏɪɴ ᴡɪᴛʜ ᴛʜᴇ O(ᴏʀɪɢɪɴ) ᴀɴᴅ ᴍᴇɴᴛɪᴏɴ ᴛʜᴇʀᴇ √2 ᴀɴᴅ ᴍᴀᴋᴇ ᴀ ᴘᴏɪɴᴛ ʙ..
• Tʜᴇɴ ᴛᴀᴋᴇ ᴀ ᴅɪᴠɪᴅᴇʀ ᴀɴᴅ ᴛᴀᴋᴇ ᴛʜᴇ ᴍᴇᴀsᴜʀᴇ ᴏғ O ᴛᴏ B ᴀɴᴅ ᴍᴀᴋᴇ ʜᴀʟғ ᴄɪʀᴄʟᴇ..
• Sᴀᴍᴇ ᴛᴀᴋᴇ ᴀ sᴇᴛ sǫᴜᴀʀᴇ ᴀɴᴅ ᴘᴜᴛ ᴀᴛ ᴘᴏɪɴᴛ ʙ ᴀɴᴅ ᴅʀᴀᴡ ᴀ ʟɪɴᴇ ᴏғ 2 ᴄᴍ..
• Tʜᴇɴ ᴍᴀᴋᴇ ᴛʜᴀᴛ ᴘᴏɪɴᴛ C ᴀɴᴅ ᴀɴᴅ ᴊᴏɪɴ ɪᴛ ᴡɪᴛʜ ᴏʀɪɢɪɴ..
• Tᴀᴋᴇ ᴀ ᴅɪᴠɪᴅᴇʀ ᴀɴᴅ ᴛᴀᴋᴇ ᴍᴇᴀsᴜʀᴇ O ᴀɴᴅ C ᴀɴᴅ ᴍᴀᴋᴇ ʜᴀʟғ ᴄɪʀᴄʟᴇ..Aɴᴅ ɴᴀᴍᴇ ᴀs A2
• Sᴀᴍᴇ ᴍᴀᴋᴇ ᴛɪʟʟ √5 ᴀɴᴅ ᴛʜᴇɴ ʏᴏᴜʀ ғɪɢᴜʀᴇ ᴡɪʟʟ ʙᴇ ʀᴇᴀᴅʏ

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Mᴏʀᴇ ɪɴғᴏʀᴍᴀᴛɪᴏɴ:

1)OA=$\sf \pink{(2 cm)= 1 unit}$

AB=$\sf \pink{(2 cm)=1 unit}$

∴OB=$\sf \pink{√1^2+1^2=√2}$

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2)OB=√2 units

AC= 1 unit

∴OC=$\sf \pink{√(√2)^2+1^2}$

=$\sf \pink{√2+1}$

OC=$\sf \pink{√3}$

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3)OC=$\sf \pink{√3 units}$

CD=$\sf \pink{1 unit}$

∴OD=$\sf \pink{√(√3)^2+1^2}$

=$\sf \pink{√3+1}$

∴OD=$\sf \pink{√4=2 unit}$

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4)OD=$\sf \pink{2 units}$

ED=$\sf \pink{1 unit}$

∴OE=$\sf \pink{√(2)^2+1^2}$

=$\sf \pink{√4+1}$

∴OE=$\sf \pink{√5 units}$