3 years ago

Find the length of side x in simplest radical form with a rational denominator

Mathematics

1 answer:

Luba_88 [7]3 years ago

5 0

It's the triangle 30° - 60° - 90°.

The sides are in proportion 1 : √3 : 2 (look at the picture).

Therefore we have:

$x=\dfrac{\sqrt6\cdot\sqrt3}{2}=\dfrac{\sqrt{(6)(3)}}{2}=\dfrac{\sqrt{18}}{2}=\dfrac{\sqrt{(9)(2)}}{2}\\\\=\dfrac{\sqrt9\cdot\sqrt2}{2}=\boxed{\dfrac{3\sqrt2}{2}}$

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The square root of the quotient of a number n and 3 is equal to the square root of 4 less than the number. Which of the followin

Lisa [10]

Answer:

Step-by-step explanation: You can set up the equation: $\sqrt{\frac{n}{3} }$ = $\sqrt{n-4}$ You square both sides to cancel out the squares which leaves you with $\frac{n}{3}$ = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with $\sqrt{2}$ on both sides.