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poizon [28]
3 years ago
12

(Number 5)help plzzz

Mathematics
1 answer:
EleoNora [17]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}

First, simplify √8. This is the same as:

\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2

Therefore, our equation is now:

2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}

Combine like terms on the left:

3\sqrt2=3\cdot 2^\frac{1}{2}}

The square root of something is the same as taking that number to the one-half power. Thus:

3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}

Rewrite:

3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}

And we're done!

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