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Step-by-step explanation:
m= √13-2√3
then m^2 =(√13 - 2√3)^2)= 25 - 4√39
(by using the formula (a-b)^2 = (a^2 ) - (2*a*b) +(b^2))
where a=√13 and b=2√3
then 1/(m^2)= 1/((√13 - 2√3)^2)
=(25 + 4√39)/((25^2) - (4√39)^2)
(denominator by using the formula... (a - b)(a + b)=(a^2 - b^2))
we get 25 + 4√39
then substituting these values in the question....
I.e. in "m^2 - 1/(m^2)",
=25 - 4√39 - (25 + 4√39)
= - 8√39
hope u understand.....
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