simplify: sqrt (16)/sqrt (4) + sqrt (2)
a) 8 - 2 sqrt (2)
b) 8 - sqrt (2) / 2
c) 2
d) 4 - 2 sqrt (2)
The answer is D.
The sqrt of 16 is 4. The sqrt of 4 is 2.And just keep the sqrt of (2) the same.(:
thanks beth :)
the way you typed it ...
sqrt (16)/sqrt (4) + sqrt (2)
= 4/2 + √2
= 2 + √2 which would be none of the anwers
If you meant
sqrt (16)/(sqrt (4) + sqrt (2))
= 4/(2 + √2)
= 4/(2 + √2) * (2-√2)/(2-√2)
= (8-4√2)/(4-2)
= 4 - 2√2
Beth by coincidence picked the right answer, but for all the wrong reasons
To simplify the given expression, we can follow these steps:
Step 1: Simplify the individual square roots:
sqrt(16) = 4
sqrt(4) = 2
Step 2: Substitute the simplified values back into the expression:
(sqrt(16) / sqrt(4)) + sqrt(2) = (4/2) + sqrt(2)
Step 3: Simplify the fraction:
4/2 = 2
Step 4: Rewrite the expression:
2 + sqrt(2)
Therefore, the simplified expression is 2 + sqrt(2), which corresponds to option C.