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Answer:
- 10√2 - 5√5
Step-by-step explanation:
- 2√50
√50 = √( 2 x 5 x 5 ) = 5√2
- 2√50
= - 2 x 5√2
= - 10√2
- √125
= - √( 5 x 5 x 5 )
= - 5√5
- 2√50 - √125
= - 10√2 - 5√5
Answer:
Step-by-step explanation:
50: 2 * 5 * 5
125:5 * 5 * 5
sqrt(50) = 5*sqrt(2) For every pair of primes, 1 of them is put outside the sqrt sign and one is discarded.
sqrt(125) = 5*sqrt(5) Same rule.
-2 sqrt(50) - sqrt(125)
-2*5*sqrt(2) - 5sqrt(5)
Answer: -10*sqrt(2) - 5sqrt(5)
You could write the answer as
Answer: -5(2sqrt(2) + sqrt(5) )
Comment: I don't know which answer you should use. I think the second one is more complete, but your marker may not agree.