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anonymous one year ago Which statement is true about the product square root of 2(3square root of 2 + square root of 14)? It is rational and equal to 12. It is rational and equal to 18. It is irrational and equal to 6 + 2square root of 18. It is irrational and equal to 3 +square root of 18.

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1. geerky42

$\sqrt{2}(3\sqrt2 + \sqrt{14})$Right? What do you think so far?

2. geerky42

You can split $$\sqrt{14}$$ into two square roots; $$\sqrt{14} = \sqrt{2\cdot7}=\sqrt2\sqrt7$$

3. geerky42

$\sqrt{2}(3\sqrt2 + \sqrt2\sqrt7)$ Now distribute $$\sqrt2$$

4. anonymous

Um I think I get it but what next?

5. anonymous

simplifying further, you'll get $6+2\sqrt{7}$

6. anonymous

so would that be c ? @aryandecoolest

7. anonymous

@geerky42

8. anonymous

C

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