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?
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 :)
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.
√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
√(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