![\sqrt{1}](https://tex.z-dn.net/?f=%20%5Csqrt%7B1%7D%20)
is an example of a rational number, and so is 3/2
ANSWER
![2 \sqrt{42} +7 \sqrt{2}- 6- \sqrt{21}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B42%7D%20%2B7%20%20%5Csqrt%7B2%7D-%206-%20%5Csqrt%7B21%7D)
EXPLANATION
The given product is:
![( \sqrt{14} - \sqrt{3} )( \sqrt{12} + \sqrt{7} )](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B14%7D%20%20-%20%20%5Csqrt%7B3%7D%20%29%28%20%5Csqrt%7B12%7D%20%2B%20%20%5Csqrt%7B7%7D%20%20%29)
We expand using the distributive property to obtain:
![\sqrt{14}( \sqrt{12} + \sqrt{7}) -\sqrt{3}( \sqrt{12} + \sqrt{7} )](https://tex.z-dn.net/?f=%5Csqrt%7B14%7D%28%20%5Csqrt%7B12%7D%20%2B%20%20%5Csqrt%7B7%7D%29%20-%5Csqrt%7B3%7D%28%20%5Csqrt%7B12%7D%20%2B%20%20%5Csqrt%7B7%7D%20%20%29)
Extract the perfect squares to get:
![\sqrt{14}(2 \sqrt{3} + \sqrt{7}) -\sqrt{3}( 2\sqrt{3} + \sqrt{7} )](https://tex.z-dn.net/?f=%5Csqrt%7B14%7D%282%20%5Csqrt%7B3%7D%20%2B%20%20%5Csqrt%7B7%7D%29%20-%5Csqrt%7B3%7D%28%202%5Csqrt%7B3%7D%20%2B%20%20%5Csqrt%7B7%7D%20%20%29)
Expand further to get;
![2 \sqrt{42} +7 \sqrt{2}- 2(3) - \sqrt{21}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B42%7D%20%2B7%20%20%5Csqrt%7B2%7D-%202%283%29%20%20%20-%20%5Csqrt%7B21%7D%20)
This simplifies to,
![2 \sqrt{42} +7 \sqrt{2}- 6- \sqrt{21}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B42%7D%20%2B7%20%20%5Csqrt%7B2%7D-%206-%20%5Csqrt%7B21%7D%20)
32,420 is round to the nearest thousand is 32,000
Answer:
yes
Step-by-step explanation:
distribute 2 on the L.H.S.
8x-16=-20 is correct .