Answer :
Final answer:
The expression √50-√2 simplifies to 5√2-√2, and further to 4√2 by combining like terms since both terms involve the square root of 2.
Explanation:
The expression √50-√2 requires simplification by finding the square root of the numbers involved. Since √50 can be rewritten as √(25*2) and √25 is 5, we can simplify the initial expression as 5√2-√2. This simplification uses the property that the square root of a product of numbers is the product of the square roots, as long as the numbers are non-negative. With this in mind, the final simplification of the expression results in 4√2, since we are combining like terms (5√2 and -√2).
Step-by-step explanation:
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