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If a= (-9 9), find |a|, giving your answer as a surd in its simplest form.

User Ben Weiss
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1 Answer

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16 votes

Answer:

The absolute value of a is equal to 3 * √(2), which is the simplest form of the surd.

Explanation:

The absolute value of a number is the distance of the number from zero on the number line. To find the absolute value of a complex number, we take the square root of the sum of the squares of the real and imaginary parts.

In this case, the absolute value of a is given by:

|a| = √((-9)^2 + 9^2) = √(81 + 81) = √(162) = √(9 * 18) = 3 * √(2)

Therefore, the absolute value of a is equal to 3 * √(2), which is the simplest form of the surd.

User Magneticz
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