Question

which is greater
$3 \sqrt{3}$
or
$4 \sqrt{4}$



​

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{3\sqrt{3}<4\sqrt{4}}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

$let \: assume \: that \: 4 \sqrt{4} > 3 \sqrt{3} \\ first \: we \: calculat \: the \: value \: of \\ each \: of \: the \: following \\ = ) 3 \sqrt{3} \\ \\ first \: value = )3 \times 1.73 \\ = )5.19 \\ \\ 2nd \: value \\ = )4 \sqrt{4} \\ = )4 \times 2 \\ = )8 \\ \\ so \: from \: these \: we \: get \: that \: \\ 8 > 5.19 \\ \\ > > but \: our \: assumption \: get \: failed \: \\ if \: the \: values \: are \:like \\ 10 \sqrt{3} < 9 \sqrt{4} \\ > > to \: assuming \: the \: greater \: value .\\ value \: is \: dependent \: on \: the \:intege \\ and \: on \: underroot \: values.$

$\huge{\boxed{\boxed{\sf{3\sqrt{3}<4\sqrt{4}}}}}$

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