\left[x \right] = \left[ \frac{9}{2}\right][x]=[29] solution set of the equation
Well, if a number has more than two factors then it is Composite. But if the number has only two factors the it is Prime.
So the number 212 is a Composite number.
Answer:
The answer is √5 .
Step-by-step explanation:
You have to rationalize the fraction in order to get rid of surd in the denorminator by multiplying √3 to both numerator amd denorminator :
![\frac{ \sqrt{15} }{ \sqrt{3} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B15%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20)
![= \frac{ \sqrt{15} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B15%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20)
![= \frac{ \sqrt{15} \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B15%7D%20%5Ctimes%20%20%5Csqrt%7B3%7D%20%20%7D%7B%20%5Csqrt%7B3%7D%20%20%5Ctimes%20%20%5Csqrt%7B3%7D%20%7D%20)
![= \frac{ \sqrt{45} }{3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B45%7D%20%7D%7B3%7D%20)
![= \frac{ \sqrt{9 \times 5} }{3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B9%20%5Ctimes%205%7D%20%7D%7B3%7D%20)
![= \frac{3 \sqrt{5} }{3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B3%20%5Csqrt%7B5%7D%20%7D%7B3%7D%20)
![= \sqrt{5}](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B5%7D%20)