7/√17-2√3-3/√17+2√3 simplify
Answers
Answered by
0
\large\frac{7}{ \sqrt{17} - 2\sqrt{3} } - \frac{3}{ \sqrt{17} + 2 \sqrt{3} }
17
−2
3
7
−
17
+2
3
3
\large = \frac{7( \sqrt{17 } + 2 \sqrt{3} ) - 3( \sqrt{17} - 2 \sqrt{3}) }{( \sqrt{17} - 2 \sqrt{3} )( \sqrt{17} + 2 \sqrt{3}) }=
(
17
−2
3
)(
17
+2
3
)
7(
17
+2
3
)−3(
17
−2
3
)
\large = \frac{7 \sqrt{17} + 14 \sqrt{3} - 3 \sqrt{17} + 14 \sqrt{3} }{ { (\sqrt{17}) }^{2} - ({ 2\sqrt{3} })^{2} }=
(
17
)
2
−(2
3
)
2
7
17
+14
3
−3
17
+14
3
\large= \frac{4 \sqrt{17} + 28 \sqrt{3} }{ 17 - 12 }=
17−12
4
17
+28
3
\large= \frac{4 \sqrt{17} + 28 \sqrt{3} }{5}=
5
4
17
+28
3
Similar questions