Question

Q. 4 which of the following is an irrational no. Root 23 Root 225 O 3.4123 None ​

Answer 1

(ɪ) √23

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴏɴ ғɪɴᴅɪɴɢ ᴛʜᴇ sǫᴜᴀʀᴇ ʀᴏᴏᴛ ᴏғ √23, ᴡᴇ ᴡɪʟʟ ɴᴏᴛ ɢᴇᴛ ᴀɴ ɪɴᴛᴇɢᴇʀ. ᴛʜᴇʀᴇғᴏʀᴇ, ᴡᴇ ᴄᴏɴᴄʟᴜᴅᴇ ᴛʜᴀᴛ 23 ɪs ᴀɴ ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ.

(ɪɪ) √225

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴏɴ ғɪɴᴅɪɴɢ ᴛʜᴇ sǫᴜᴀʀᴇ ʀᴏᴏᴛ ᴏғ √225, ᴡᴇ ɢᴇᴛ 15, ᴡʜɪᴄʜ ɪs ᴀɴ ɪɴᴛᴇɢᴇʀ. ᴛʜᴇʀᴇғᴏʀᴇ, ᴡᴇ ᴄᴏɴᴄʟᴜᴅᴇ ᴛʜᴀᴛ 225 ɪs ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ.

(ɪɪɪ) √0.3796

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ 0.3796 ᴄᴀɴ ʙᴇ ᴄᴏɴᴠᴇʀᴛᴇᴅ ɪɴᴛᴏ ᴘ/ǫ ᴡʜɪʟᴇ, ᴄᴏɴᴠᴇʀᴛɪɴɢ 0.3796 ɪɴᴛᴏ ᴘ/ǫ ғᴏʀᴍ, ᴡᴇ ɢᴇᴛ 0.3796 = 3796/10000 .