Question

Simplify ( √12 - √8) (√3 + √2) /(5+√24)


(A) √6 - √2


(C) √6 - 2


(B) √6 + √2


(D) 2-√6

Answer 1

Step-by-step explanation:

(√12-√8)(√3+√2)/(5+√24)

=(2√3-2√2)(√3+√2)/(5+2√6)

=2(√3-√2)(√3+√2)/(5+2√6)

=2(3-2)/(5+2√6)

=2/(5+√24)

=2(5-√24)

Answer 2

Answer:

$\frac{2}{5 + \sqrt{24} }$

Step-by-step explanation:

$\frac{( \sqrt{12} - \sqrt{8} )( \sqrt{3} + \sqrt{2}) }{5 + \sqrt{24} } \\ \\ = > \frac{ \sqrt{12} ( \sqrt{3} + \sqrt{2} ) - \sqrt{8} ( \sqrt{3} + \sqrt{2} )}{5 + \sqrt{24} } \\ \\ = > \frac{ \sqrt{36} + \sqrt{24} - \sqrt{24} - \sqrt{16} }{5 + \sqrt{24} } \\ \\ = > \frac{6 - 4}{5 + \sqrt{24} } \\ \\ = > \frac{2}{5 + \sqrt{24} }$

Hence the answer is 2/5+√24

None of the above answer is correct, it may mistake in your book or textbook.

hope it helps.