anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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geerky42
  • geerky42
\[\sqrt{2}(3\sqrt2 + \sqrt{14})\]Right? What do you think so far?
geerky42
  • geerky42
You can split \(\sqrt{14}\) into two square roots; \(\sqrt{14} = \sqrt{2\cdot7}=\sqrt2\sqrt7\)
geerky42
  • geerky42
\[\sqrt{2}(3\sqrt2 + \sqrt2\sqrt7)\] Now distribute \(\sqrt2\)

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anonymous
  • anonymous
Um I think I get it but what next?
anonymous
  • anonymous
simplifying further, you'll get \[6+2\sqrt{7}\]
anonymous
  • anonymous
so would that be c ? @aryandecoolest
anonymous
  • anonymous
@geerky42
anonymous
  • anonymous
C

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