Give an example of numbers a and b that shows √(a+b) is not the same as √a+√b.
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Give an example of numbers a and b that shows √(a+b) is not the same as √a+√b.

[From: ] [author: ] [Date: 12-06-26] [Hit: ]
√(a+b) = √(u²+v²)whichis the length of the hypotenuse of the right triangle with other sides u and v.So √a+√b = √(a+b) only if one or both of a and b equal 0.When numbers are multiplied or divided inside the square root sign they can be separated, otherwise not.......
Give an example of numbers a and b that shows √(a+b) is not the same as √a+√b.
Find all values of a and b that make those two expressions equal to each other.

What does it mean? And how do you do it?

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16 and 9
16+9 = 25
√25 = 5
√16=4 and √9 = 3
4+3 =7
5 does not equal 7 :)
To make it true the answer is a=0 and b=0.or
a=1 and b=0 or
a=0 and b=1 :)

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Let a = u² and b = v²
√a+√b = |u| + |v|, which is the length of u plus the length of v.

√(a+b) = √(u²+v²) which is the length of the hypotenuse of the right triangle with other sides u and v.

So √a+√b = √(a+b) only if one or both of a and b equal 0.

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√(3² + 4²) = √(25) = 5
√(3²) + √(4²) = 3 + 4 = 7

When numbers are multiplied or divided inside the square root sign they can be separated, otherwise not.

√(3² * 4²) = √(144) = 12
√(3² * 4²) = √(3²) * √(4²) = 3 * 4 = 12
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