Question

simplify:✓24/8+✓54/9​

Answer 1

Here is ur answer:

√24/8 =√(2*2*2*3)/8

=2√6/8

=√6/4

√54/9 =√(2*3*3*3)/9

=3√6/9

=√6/3

so, √24/8+√54/9

=√6/4+√6/3

=7√6/12

Therefore the answer to the given question is 7√6/12

Hope this will help you!!!!

Answer 2

$\huge \pink {{Simplification }}$

$<b ><font color ="purple" >$

$= \sqrt{\frac{ 24}{8} } + \sqrt{ \frac{54}{9} } \\ \\ = > \sqrt{ \frac{2 \times 2 \times 2 \times 3}{2 \times 2 \times 2} } + \sqrt{ \frac{2 \times 3 \times 3 \times 3}{3 \times 3 \times 3 } } \\ \\ = > \sqrt{3} + \sqrt{2} \\ \\ = > { (\sqrt{3} + \sqrt{2}) }^{2} \\ \\ = > { (\sqrt{3}) }^{2} + { (\sqrt{2}) }^{2} + 2( \sqrt{2} )( \sqrt{3} ) \\ \\ = > 3 + 2 + 2 \sqrt{6} \\ \\ = > 5 + 2 \sqrt{6}$

$</b ></font >$

$\large \pink {{HOPE \: YOU \: GOT \: IT}}$