Question

what least number must be added to 5607 to make the sum a perfect square. find the square root of the perfect square number so obtained.

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Answer 1

ʜᴇy ᴍᴀᴛᴇ:

ɢɪᴠᴇɴ ɴᴏ ɪꜱ 5607

ɪꜰ ᴡᴇ ᴀᴅᴅ 18 ɪ ᴛʜɪꜱ ᴛʜᴇɴ ɴᴇᴡ ɴᴏ ᴡɪʟʟ ʙᴇᴄᴏᴍᴇ 5625 .

ᴀɴᴅ √5625=75

ꜱᴏ 5625 ɪꜱ ᴀ ᴩᴇʀꜰᴇᴄᴛ ꜱqᴜᴀʀᴇ.

ꜱᴏ ɪꜰ ᴛᴏ ᴀᴅᴅ 18 ɪɴ 5607 ɴᴏ ᴡɪʟʟ ʙᴇᴄᴀᴍᴇ ᴀ ᴩᴇʀꜰᴇᴄᴛ ꜱqᴜᴀʀᴇ.

ᴀɴᴅ ɪᴛꜱ ꜱqᴜᴀʀᴇʀᴏᴏᴛ ᴡɪʟʟ 75

ʜᴏᴩᴇ ɪᴛ ʜᴇʟᴩꜱ yᴏᴜ :)

ᴍᴀʀᴋ ᴍᴇ ᴀꜱ ʙʀᴀɪɴʟɪᴇꜱᴛ :-:

Answer 2

We find √5607 by long division method. The remainder is 131.   This shows that 74²<5607. Next perfect square number is 75²= 5625  Hence the number to be added is 75²-5607 = 5625 -5607 =18