SOLUTION: I just need to check to see if these are right since the ones I have had double checked were wrong. Thanks. Evaluate, if possible. 6. {{{sqrt(-121)}}} My answer:{{{sqrt(11^2)}}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: I just need to check to see if these are right since the ones I have had double checked were wrong. Thanks. Evaluate, if possible. 6. {{{sqrt(-121)}}} My answer:{{{sqrt(11^2)}}}      Log On


   



Question 73482: I just need to check to see if these are right since the ones I have had double checked were wrong. Thanks.
Evaluate, if possible.
6. sqrt%28-121%29 My answer:sqrt%2811%5E2%29
12.sqrt%284%2F25%29 My answer:sqrt%282%5E2%2F5%5E2%29
24.3sqrt%288%2F27%29 my answer: 2%2F3
Use the property 1 to simpligy each of the following radical expressions. Assume that all variables represent positive real numbers.
2. sqrt%2850%29 my answer: sqrt%282%2A5%5E2%29
24.sqrt%2872x%5E3%29 My answer: sqrt%282%5E3%29%283%5E2%29%28x%5E3%29
Thanks for taking the time to look over this for me, it is greatly appreciated.

Found 2 solutions by Cintchr, checkley75:
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
#6 ... when you find the sqrt of a number, the radical disappears. And the - sign makes this an imaginary number, the neg comes out and becomes an 'i'
+sqrt%28-121%29+=+11i+

#12 Again the radical disappears
+sqrt%284%2F25%29+=+2%2F5+

#24 CORRECT!!!

#2 Continue on ...
+sqrt%2850%29+
+sqrt%282%2A5%2A5%29+
+5sqrt%282%29+

#24 Continue on ...
+sqrt%2872x%5E3%29+
+sqrt%282%2A2%2A2%2A3%2A3%2Ax%2Ax%2Ax%29+
+%282%2A3%2Ax%29sqrt%282x%29+
+%286x%29sqrt%282x%29+

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
6. SQRT-121=11i (i=SQRT-1)
12. SQRT4/25=2/5
24. 3SQRT(8/27)=3*2/3SQRT92/3)=6/3SQRT(2/3)=2SQRT(2/3)
2. SQRT(50)=SQRT(25*2)=5SQRT2
24. SQRT(72X^3)=SQRT(6^2*2)(X^2*X)=6XSQRT(2X)