(2√3-5√2) and (√3 2√2)
Answers
Answer:
Step-by-step explanation:
We have,
(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
3
−5
2
)+(
3
+2
2
)
To add, (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=?(2
3
−5
2
)+(
3
+2
2
)=?
∴ (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
3
−5
2
)+(
3
+2
2
)
=2\sqrt{3}-5\sqrt{2}+\sqrt{3}+2\sqrt{2}=2
3
−5
2
+
3
+2
2
=(2\sqrt{3}+\sqrt{3})+(-5\sqrt{2}+2\sqrt{2})=(2
3
+
3
)+(−5
2
+2
2
)
=3\sqrt{3}-3\sqrt{2}=3
3
−3
2
Taking 3 as common, we get
=3(\sqrt{3}-\sqrt{2})=3(
3
−
2
)
The addition of (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
3
−5
2
)+(
3
+2
2
) =3(\sqrt{3}-\sqrt{2})=3(
3
−
2
)
Hence, (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
3
−5
2
)+(
3
+2
2
) =3(\sqrt{3}-\sqrt{2})=3(
3
−
2
)
Step-by-step explanation:
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