Question

simplify plzz simplify omg it is so hard

Answer 1

Copy this

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Answer 2

Answer:

$\frac{ \sqrt{30} + \sqrt{21} }{3}$

Step-by-step explanation:

$\sqrt{ \frac{ \sqrt{30} + \sqrt{21} }{ \sqrt{30} - \sqrt{21} } }$

Now we rationalize the denominator

$= \sqrt{ \frac{( \sqrt{30} + \sqrt{21})( \sqrt{30} + \sqrt{21}) }{( \sqrt{30} - \sqrt{21})( \sqrt{30} \ + \sqrt{21}) } }$

$= \sqrt{ \frac{ {( \sqrt{30} + \sqrt{21}) }^{2} }{30 - 21} }$

Here we used the formula

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$= \frac{ \sqrt{30} + \sqrt{21} }{3}$

(Since 30-21=9 and √9=3)

So this is the final simplification.