Need to verify answers

[Typaradise]

1. Square root negative 70 divided by square root negative 7
Answer: square root negative 10

2. negative 9 minus square root negative 18 divided by 3
Answer: negative 3 negative i square root 2

 

[mmm4444bot]

1. Square root negative 70 divided by square root negative 7

Answer: square root negative 10 No.

$\displaystyle \frac{\sqrt{-70}}{\sqrt{-7}} \;=\; \sqrt{\frac{-70}{-7}} \;=\; ?$

2. negative 9 minus square root negative 18 divided by 3 This is poorly worded; what exactly is divided by 3?

Answer: negative 3 negative i square root 2 Did you forget to type the word "minus" ?

I'll guess on this one:

$\displaystyle \frac{-9 \;-\; \sqrt{-18}}{3} \;=\; \frac{-9 \;-\; 3 \ \sqrt{2} \ i}{3} \;=\; \frac{-9}{3} \;-\; \frac{3 \ \sqrt{2} \ i}{3} \;=\; ?$

Here's how to type these expressions, using the keyboard.

sqrt(-70) / sqrt(-7)

[-9 - sqrt(-18)] / 3

 

[Aladdin]

---------------
*1* I think you meant :

$\displaystyle \frac{\sqrt70}{\sqrt7}$

Rationalize the denomenator :

$\displaystyle \frac{\sqrt490}{7} = \frac{7\sqrt10}{7} = \sqrt10$

 

[mmm4444bot]

---------------
*1* I think you meant :

$\displaystyle \frac{\sqrt70}{\sqrt7}$

Rationalize the denomenator :

$\displaystyle \frac{\sqrt490}{7} = \frac{7\sqrt10}{7} = /sqrt10$

Aladdin: In LaTex, if you put curly braces around radicands, you'll get $\displaystyle \sqrt{70}$ instead of $\displaystyle \sqrt70$.

 

[swaroop]

1)sqrt(-70)/sqrt(-7)=sqrt(10)
2)your answer is right:
(-9-sqrt(18))/3=-3-i*sqrt(2)

 

[mmm4444bot]

2) your answer is right

Swaroop, how can the answer "negative 3 negative i square root 2" be correct, when the answer is "negative 3 minus i square root 2"?

 

[Aladdin]

Re:

---------------
*1* I think you meant :

$\displaystyle \frac{\sqrt70}{\sqrt7}$

Rationalize the denomenator :

$\displaystyle \frac{\sqrt490}{7} = \frac{7\sqrt10}{7} = /sqrt10$

Aladdin: In LaTex, if you put curly braces around radicands, you'll get $\displaystyle \sqrt{70}$ instead of $\displaystyle \sqrt70$.

Thanks Mark . I'll do this .

 

[Typaradise]

Wow...thanks for the info. Especially how to "worded" the problems.