SOLUTION: Can someone explain this to me? I read my text and I am lost... Are each of the statements below true or false? Explain your answer without just saying true or false. 1. sqrt(a)+

Question 461858: Can someone explain this to me? I read my text and I am lost... Are each of the statements below true or false? Explain your answer without just saying true or false.
1. sqrt(a)+sqrt(b)=sqrt a+b
2. The numerator and denominator of the following must be multiplied by sqrt 3 to rationalize 3/3+sqrt3.

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Right away, we know statement 1 is false; square root is not commutative. For example, let a = 9, b = 16, then

which pretty much says that 7 = 5.

Statement 2 is false; multiplying by sqrt(3) will only turn the denominator into another radical expression. Multiplying by 3 - sqrt(3) will rationalize the denominator.
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