Question

I WILL GIVE MEDAL FOR ANSWER. What is the exact value of the expression square root of 18 plus square root of 48 minus square root of 50? Simplify completely.

Answer 1

\[\eqalign{
\sqrt{18}+\sqrt{48}-\sqrt{50}&=\sqrt{9\times2}-\sqrt{25\times2}+\sqrt{48} \\
&=3\sqrt{2}-5\sqrt{2}+\sqrt{48} \\
&=\sqrt{48}-2\sqrt{2} \\
&=2\sqrt{12}-2\sqrt{2} \\
&=2(\sqrt{12}-\sqrt{2}) \\
&=2(\sqrt{6}\sqrt{2}-\sqrt{2}) \\
&=2[\sqrt{2}(\sqrt{6}-1)] \\
&=(2)^{1.5}(\sqrt{6}-1) \\
&=(2)^{1.5}(\sqrt{2}\sqrt{3}-1) \\
&=2^2\sqrt{3}-1 \\
&=4\sqrt{3}-1
}\]
...That's as far as I got haha

Answer 2

wait i have multiple choice answers

Answer 3

...That might help haha

Answer 4

A.sqrt(16)
B.-14sqrt(2)+16sqrt(3)
C.-2sqrt(2)+4sqrt(3)
D.-sqrt(8)+sqrt(48)

Answer 5

I believe C

Answer 6

hey...... @KeithAfasCalcLover has made a mistake in his last step.... It should be corrected and the u can have C as answer

Answer 7

but his steps r correct...!!!

Answer 8

Oh yeahh haha k thank you isuru I didn't notice that haha

Answer 9

so its c? i appreciate the help. can you guys help me with another one

Answer 10

u r welcome

Answer 11

\[
\eqalign{
\sqrt{18}+\sqrt{48}-\sqrt{50}&=\sqrt{9\times2}-\sqrt{25\times2}+\sqrt{48} \\
&=3\sqrt{2}-5\sqrt{2}+\sqrt{48} \\
&=\sqrt{48}-2\sqrt{2} \\
&=2\sqrt{12}-2\sqrt{2} \\
&=2(\sqrt{12}-\sqrt{2}) \\
&=2(\sqrt{6}\sqrt{2}-\sqrt{2}) \\
&=2[\sqrt{2}(\sqrt{6}-1)] \\
&=(2)^{1.5}(\sqrt{6}-1) \\
&=(2)^{1.5}(\sqrt{2}\sqrt{3}-1) \\
&=2^2\sqrt{3}-2^{1.5} \\
&=4\sqrt{3}-2\sqrt{2}
}
\]
Is that better?

Answer 12

yeah thanks man. do yo mind helping me with this one?

Answer 13

fine! by me lol :-)

Answer 14

294xsquare root of 10

42xsquare root of 10

12x2square root of 10

42square root of 10 times x squared

Answer 15

these are the answers to the new problem