Question

[3√2+√5](√50-4/3√5
)​

Answer 1

Answer:

30-4 √15+5√10-20/3

Explanation:

3√2√50-3√3*4/3√5+√5√50-4/3√25

3√100-4√15+√250-4/3√25

30-4√15+5√10-20/3

Hope this helps

Answer 2

Given,

$\[\left( {3\sqrt 2 + \sqrt 5 } \right)\left( {\sqrt {50} - \frac{4}{{3\sqrt 5 }}} \right)\]$

Solution,

$\[ = \left( {3\sqrt 2 + \sqrt 5 } \right)\left( {\sqrt {50} - \frac{4}{{3\sqrt 5 }}} \right)\]$

$\[ = \left( {3\sqrt 2 + \sqrt 5 } \right)\left( {\sqrt {50} - \frac{{4\sqrt 5 }}{{15}}} \right)\]$

$\[ = 30 + 5\sqrt {10} - \frac{4}{5}\sqrt {10} - \frac{4}{3}\]$

$\[ = \frac{{86}}{3} + \frac{{21}}{5}\sqrt {10} \]$

Hence the value is $\[\frac{{86}}{3} + \frac{{21}}{5}\sqrt {10} \]$