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anonymous

  • 4 years ago

How do I simplify: √2 + √5 / √6 - √10? The answer is supposed to be: - 5√2 + 2√3 + 2√5 + √30 / 4 but I get confused with the 3rd step. HELP!

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  1. anonymous
    • 4 years ago
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    I know i have to multiply √2 + √5 / √6 - √10 by √6 + √10 / √6 + √10

  2. anonymous
    • 4 years ago
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    and then do I: √12 + √20 + √30 + √50 / √36 + √60 -√60 - √100?

  3. campbell_st
    • 4 years ago
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    \[2\sqrt{3}= \sqrt{12} \] \[\sqrt{20}=2\sqrt{5}\] \[\sqrt{50}=5\sqrt{2}\] since the donominator is -4 reverse the sign of each term in the numerator and and make the denominator positive

  4. anonymous
    • 4 years ago
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    Why is it: √20=√25?

  5. anonymous
    • 4 years ago
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    * √20 = 2√5?

  6. anonymous
    • 4 years ago
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    please answer...

  7. campbell_st
    • 4 years ago
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    \[\sqrt{20}=\sqrt{4\times5} =\sqrt{4}\times \sqrt{5}\]

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