Question

Rationalize the denominator.

√+√​

Answer 1

Answer:

When we have a fraction with a root in the denominator, like 1/√2, it's often desirable to manipulate it so the denominator doesn't have roots. To do that, we can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator.

Answer 2

Step-by-step explanation:

ᴡʜᴇɴ ᴡᴇ ʜᴀᴠᴇ ᴀ ꜰʀᴀᴄᴛɪᴏɴ ᴡɪᴛʜ ᴀ ʀᴏᴏᴛ ɪɴ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ, ʟɪᴋᴇ 1/√2, ɪᴛ'ꜱ ᴏꜰᴛᴇɴ ᴅᴇꜱɪʀᴀʙʟᴇ ᴛᴏ ᴍᴀɴɪᴘᴜʟᴀᴛᴇ ɪᴛ ꜱᴏ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ᴅᴏᴇꜱɴ'ᴛ ʜᴀᴠᴇ ʀᴏᴏᴛꜱ. ᴛᴏ ᴅᴏ ᴛʜᴀᴛ, ᴡᴇ ᴄᴀɴ ᴍᴜʟᴛɪᴘʟʏ ʙᴏᴛʜ ᴛʜᴇ ɴᴜᴍᴇʀᴀᴛᴏʀ ᴀɴᴅ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ʀᴏᴏᴛ, ᴛʜᴀᴛ ᴡɪʟʟ ɢᴇᴛ ʀɪᴅ ᴏꜰ ᴛʜᴇ ʀᴏᴏᴛ ɪɴ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ.

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