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poizon [28]
3 years ago
15

√32+√42 ÷ √8 +√12 simplify

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

Note: It should be 48 instead of 42 because √42 cannot be simplified.

Given:

Consider the given expression is

\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}

It can be written as

=\dfrac{\sqrt{16\times 2}+\sqrt{16\times 3}}{\sqrt{4\times 2}+\sqrt{4\times 3}}

=\dfrac{4\sqrt{2}+4\sqrt{3}}{2\sqrt{2}+2\sqrt{3}}

=\dfrac{4(\sqrt{2}+\sqrt{3})}{2(\sqrt{2}+\sqrt{3})}

=\dfrac{4}{2}

=2

Therefore, the simplified form of the given expression is 2.

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