1.

Add: (2√3-5√2)+(√3+2√2)

Answer»

(2\sqrt{<klux>3</klux>}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=3(\sqrt{3}-\sqrt{2})

Step-by-step explanation:

We have,

(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})

To add, (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=?

∴ (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})

=2\sqrt{3}-5\sqrt{2}+\sqrt{3}+2\sqrt{2}

=(2\sqrt{3}+\sqrt{3})+(-5\sqrt{2}+2\sqrt{2})

=3\sqrt{3}-3\sqrt{2}

Taking 3 as COMMON, we get

=3(\sqrt{3}-\sqrt{2})

The ADDITION of (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=3(\sqrt{3}-\sqrt{2})

HENCE, (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=3(\sqrt{3}-\sqrt{2})



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