Question

Given that √2 = 1.414 and √3 = 1.732, evaluate 3 + √12 correct to 2 significant figures.

Answer 1

GIVEN:-

• $\rm{\sqrt{2} = 1.414 }$

• $\rm{\sqrt{3} = 1.732 }$

TO FIND :-

• The value of $\rm{ 3 + \sqrt{12} }$

HOW TO SOLVE :-

• First we will simplify the given value.

• After simplifying we will Put the given value.

Now,

$\implies\rm{ 3 + \sqrt{12}}$

• We can also write it as

$\implies\rm{ 3 + \sqrt{3} \times{\sqrt{2}}\times{\sqrt{2}}}$

• Now Putting the value

$\implies\rm{ 3 + 1.732 \times{ 1.414} \times{ 1.414}}$

$\implies\rm{ 3 + 3.46}$

$\implies\rm{ 6.46}$

Hence, The value of $\rm{ 3 + \sqrt{12}}$ is 6.46.

Answer 2

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$\huge\bf\underline\red{GiveN}$

• $\rm{\sqrt{2} = 1.414 }$

• $\rm{\sqrt{3} = 1.732 }$

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$\huge\bf\underline\red{SolutiOn}$

✭ ꜰɪʀꜱᴛ ᴡᴇ ᴡɪʟʟ ꜱɪᴍᴘʟɪꜰʏ ᴛʜᴇ ɢɪᴠᴇɴ ᴠᴀʟᴜᴇ. ᴀꜰᴛᴇʀ ꜱɪᴍᴘʟɪꜰʏɪɴɢ ᴡᴇ ᴡɪʟʟ ᴘᴜᴛ ᴛʜᴇ ɢɪᴠᴇɴ ᴠᴀʟᴜᴇ.

ɴᴏᴡ,

$\implies\rm{ 3 + \sqrt{12}} \\ or \\</p><p>\implies\rm{ 3 + \sqrt{3} \times{\sqrt{2}}\times{\sqrt{2}}} \:$

✭ɴᴏᴡ ᴘᴜᴛᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ

$\implies\rm{ 3 + 1.732 \times{ 1.414} \times{ 1.414}} \\ </p><p>\implies\rm{ 3 + 3.46} \\ </p><p>\implies\rm{ 6.46} \:$

✭ ʜᴇɴᴄᴇ, ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ $3 + \sqrt{12}$ is 6.46

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