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Surds

Simplify:
(2+2√3) (3-√3)

How do I work out 2√3 * -√3?

Thank you!
(edited 8 years ago)
Original post by RosaA
Simplify:
(2+2√3) (3-√3)

How do I work out 2√3 x -√3?

Thank you!


2√3 x -√3 = 2 * (√3 * √3) * -1

= 2 * 3 * -1

= -6
Original post by RosaA
Simplify:
(2+2√3) (3-√3)

How do I work out 2√3 x -√3?

Thank you!


Never mind, you use x for multiplication.
(edited 8 years ago)
Reply 3
Avatar for RosaA
RosaA
OP
4
Original post by Gaiaphage
2√3 x -√3 = 2 * (√3 * √3) * -1

= 2 * 3 * -1

= -6


Thank you... Where did the -1 come from? -sorry :biggrin: I'm slightly confused :redface:
Reply 4
Avatar for RosaA
RosaA
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4
Original post by AlmostNotable
Never mind, you use x for multiplication.


Changed to *
Reply 5
Avatar for Zacken
Zacken
22
Original post by RosaA
Simplify:
(2+2√3) (3-√3)

How do I work out 2√3 * -√3?

Thank you!


Unparseable latex formula:

\displaystyle [br]\begin{align*}2\sqrt{3} \times -\sqrt{3} &= -2 \times \sqrt{3} \times \sqrt{3} \\ & = -2 \times (\sqrt{3})^2 \\ &= -2 \times (3^{1/2})^2 \\ &= -2 \times 3^{2/2} \\ &= -2 \times 3^1\\ & =-2 \times 3 \\ &= -6\end{align*}

Reply 6
Avatar for RosaA
RosaA
OP
4
Original post by Zacken
Unparseable latex formula:

\displaystyle [br]\begin{align*}2\sqrt{3} \times -\sqrt{3} &= -2 \times \sqrt{3} \times \sqrt{3} \\ & = -2 \times (\sqrt{3})^2 \\ &= -2 \times (3^{1/2})^2 \\ &= -2 \times 3^{2/2} \\ &= -2 \times 3^1\\ & =-2 \times 3 \\ &= -6\end{align*}



Thank you :smile:
Original post by RosaA
Thank you... Where did the -1 come from? -sorry :biggrin: I'm slightly confused :redface:


You were multiplying it by -√3, so I took the -1 out so you could see that you had √3*√3 in there, which is 3

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