I need help simplifying . !! FAN AND MEDAL.!
\[\left( \sqrt{6+\sqrt{10}} \right)\left( \sqrt{2+\sqrt{3}} \right)\]
Are you sure it's the square root of six plus the square root of ten, multiplied by the square root of two plus the square root of three?
what are the any answer choices
I'm sure and hold on I'll give you the options.
Did you mean: \[\left( \sqrt{6}+\sqrt{10} \right)\left( \sqrt{2}+\sqrt{3} \right)\]
\[A. 2\sqrt{3}+3\sqrt{2}+2\sqrt{5}+\sqrt{30}\]
Yes that is what I meant.
\(\left( \sqrt{6+\sqrt{10}} \right)\left( \sqrt{2+\sqrt{3}} \right)\) Put both radicands inside one single square root and multiply them out.
\[B. (\sqrt{16})(\sqrt{5})\]
C. \[\sqrt{12}+\sqrt{30}\]
\(\left( \sqrt{6+\sqrt{10}} \right)\left( \sqrt{2+\sqrt{3}} \right)\) \( =\sqrt{\left( 6+\sqrt{10} \right)\left( 2+\sqrt{3} \right) } \)
what is D?
D. \[4\sqrt{3}+9\sqrt{2}+4\sqrt{5}+ \sqrt{30}\]
But you did mean what I said right?
\(=\sqrt{\left( 6+\sqrt{10} \right)\left( 2+\sqrt{3} \right) }\) \( = \sqrt{12 + 6 \sqrt{3}+ 2\sqrt{10} + \sqrt{30} }\)
I THINK IT IS C
\(\left( \sqrt{6}+\sqrt{10} \right)\left( \sqrt{2}+\sqrt{3} \right)\) \(=\sqrt{12} + \sqrt{18} + \sqrt{20} + \sqrt{30} \) \(= 2\sqrt 3 + 3 \sqrt 2 + 2 \sqrt 5 + \sqrt{30} \) This is choice A.
@mathstudent55 You're correct. Thank you. :)
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