Math, asked by kamasanichinnaswamy, 8 months ago

show that square root of root 3+2 is irrational

Answers

Answered by SayedaFariaAinee

Answer:

Let us suppose that √2+√3 is rational. ... is rational, and so √3 is rational. This contradicts the fact √3 is irrational. Hence, √2+√3 is irrational.

Answered by Anonymous

◈ ━━━━━━━ ⸙

Sᴏʟᴜᴛɪᴏɴ:

Lᴇᴛ ᴜs sᴜᴘᴘᴏsᴇ ᴛʜᴀᴛ √➋+√➌ ɪs ʀᴀᴛɪᴏɴᴀʟ. ... Tʜɪs ᴄᴏɴᴛʀᴀᴅɪᴄᴛs ᴛʜᴇ ғᴀᴄᴛ √➌ ɪs ɪʀʀᴀᴛɪᴏɴᴀʟ.

Hᴇɴᴄᴇ, √➋+√➌ ɪs ɪʀʀᴀᴛɪᴏɴᴀʟ.

⸙ ━━━━━━━ ◈

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show that square root of root 3+2 is irrational​

Answers

show that square root of root 3+2 is irrational