Question

1) square of an ______number is even​

Answer 1

• ᴏᴅᴅ ᴀɴᴅ ᴇᴠᴇɴ sϙᴜᴀʀᴇ ɴᴜᴍʙᴇʀs
• sϙᴜᴀʀᴇs ᴏғ ᴇᴠᴇɴ ɴᴜᴍʙᴇʀs ᴀʀᴇ ᴇᴠᴇɴ (ᴀɴᴅ ɪɴ ғᴀᴄᴛ ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4), sɪɴᴄᴇ (2ɴ)2 = 4ɴ2. sϙᴜᴀʀᴇs ᴏғ ᴏᴅᴅ ɴᴜᴍʙᴇʀs ᴀʀᴇ ᴏᴅᴅ, sɪɴᴄᴇ (2ɴ + 1)2 = 4(ɴ2 + ɴ) + 1. ɪᴛ ғᴏʟʟᴏᴡs ᴛʜᴀᴛ sϙᴜᴀʀᴇ ʀᴏᴏᴛs ᴏғ ᴇᴠᴇɴ sϙᴜᴀʀᴇ ɴᴜᴍʙᴇʀs ᴀʀᴇ ᴇᴠᴇɴ, ᴀɴᴅ sϙᴜᴀʀᴇ ʀᴏᴏᴛs ᴏғ ᴏᴅᴅ sϙᴜᴀʀᴇ ɴᴜᴍʙᴇʀs ᴀʀᴇ ᴏᴅᴅ.

Answer 2

Answer:

Odd and even square numbers

Step-by-step explanation:

Squares of even numbers are even (and in fact divisible by 4), since (2n)2 = 4n2. Squares of odd numbers are odd, since (2n + 1)2 = 4(n2 + n) + 1. It follows that square roots of even square numbers are even, and square roots of odd square numbers are odd.