If the value of then

the value of (m+k) is ____ .

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Detailed Solution

Concept: The value of (m+k) is 5.
In this question, the usual algebraic properties will be applied. In order to get the values of m and k, we shall square both sides and contrast the various terms.

Given,

Using property (1) and squaring both sides of the equation, we obtain
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By comparing the terms in the two sides, we may equalize the square root term coefficients to produce equations in m and k, which we can then solve to determine the values of the terms.
Using the coefficients of

and

By comparing the coefficients of

, we may confirm and validate them further.
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The answer is therefore confirmed. The value of k+m must be determined, so

Hence, the correct answer is 5.

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