Week 4 blog post

Sum this expression

3\sqrt{5} +4\sqrt{7} = 3\sqrt{5} +4\sqrt{7}

It can not be added, because it is same with x, y. Like 3x+4y. So it can not be added.

Sum this expression

2\sqrt{3} + 6\sqrt{11}\sqrt{3} + 13\sqrt{11} = \sqrt{3} + 19\sqrt{11}

simplify this expression

(3\sqrt{7})(2\sqrt{3} + 7\sqrt{13}) = 6\sqrt{21}+ 21\sqrt{91}

On this chapter, I learned, the number in the root is same, it can be added and subtracted. But multiplication is possible to multiple that the number in root is not same. Also I learned new words. Like index, radicand, and radical.

10\sqrt{15}  In this root, index is 10, radicand is 15, and they are called radical.

 

 

Week 3 blog post

Arrange in order from greatest to least.

 

2\sqrt{10} ,                8,              3\sqrt{7},           4\sqrt{3},                 5\sqrt{2},                               2\sqrt{13}

These are mixed radical, So I will changed to entire radical to compare easily.

\sqrt{40},               \sqrt{64},               \sqrt{63},               \sqrt{48},                    \sqrt{50},                \sqrt{52}

These are more easily to compare which one is bigger or less.

Arrange.        8,   3\sqrt{7},            2\sqrt{13},       5\sqrt{2},      4\sqrt{3},           2\sqrt{10}

 

 

Because of this chapter, I completely understand about root.