Question

Evaluate the square root of the 10.0486 in decimal form

Answer 1

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✒ ᴀɴsᴡᴇʀ:-

⛄ 3.16995

✒ sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-

⛄ $\sqrt{10.0486}$

ᴄᴏɴᴠᴇʀᴛ ᴛʜᴇ ᴅᴇᴄɪᴍᴀʟ ɴᴜᴍʙᴇʀ ɪɴᴛᴏ ᴀ ғʀᴀᴄᴛɪᴏɴ.

$= \sqrt{ \frac{50243}{5000} }$

ɴᴏᴡ, ᴛᴏ ᴛᴀᴋᴇ ᴀ ʀᴏᴏᴛ ᴏғ ᴀ ғʀᴀᴄᴛɪᴏɴ, ᴛᴀᴋᴇ ᴛʜᴇ ʀᴏᴏᴛ ᴏғ ᴛʜᴇ ɴᴜᴍᴇʀᴀᴛᴏʀ ᴀɴᴅ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ sᴇᴘᴀʀᴀᴛᴇʟʏ.

$= \frac{ \sqrt{50243} }{5000}$

sɪᴍᴘʟɪғʏ ᴛʜᴇ ʀᴏᴏᴛ.

$\frac{ \sqrt{50243} }{50 \sqrt{2} }$

ʀᴀᴛɪᴏɴᴀʟɪᴢᴇ.

$\frac{ \sqrt{100486} }{100}$

ᴛʜᴇ ғɪɴᴀʟ sᴏʟᴜᴛɪᴏɴ!

♯ ᴀʟᴛᴇʀɴᴀᴛɪᴠᴇ ғᴏʀᴍ = 3. 16995

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