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Help! Please answer question below:

Help! Please answer question below:-example-1
User Auxten
by
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2 Answers

4 votes

Answer:

  • √2 + 3√3

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Multiply both the numerator and denominator by √2 to rationalize the denominator.

  • √2(2 + 3√6)/2

Distribute and simplify:

  • (2√2 + 3√12)/2 =
  • √2 + 3(2√3)/2 =
  • √2 + 3√3
User Allnightgrocery
by
8.1k points
4 votes

Answer:


√(2) +3√(3)

Explanation:

To solve this you have to rationalize the denominator. That is, you have to multiply both numerator and denominator by √2.

Let us do it now.


\sf (2+3√(6) )/(√(2) ) \\\\\sf (√(2)* (2+3√(6) ))/(√(2) *√(2) )\\\\\sf (2√(2) +3√(6)√(2) )/(√(2*2) )\\\\\sf (2√(2) +3√(12))/(√(4) )\\\\\sf (2√(2) +3*2√(3) )/(2) }\\\\\sf (2√(2) +6√(3) )/(2) }\\\\\sf \frac{2√(2)} {2}+(6√(3) )/(2) \\\\√(2) +3√(3)

User PaulBarr
by
7.6k points

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