If m= 7 - 4√3.then the value of √m + 1/√m =
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The answer is 4.
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The value will be 3.85 (approx value).
Given data :
The numerical value of the m = 7-4✓3
By, further simplification we get the following value,
= 4+3-4✓3
= (2)²+(✓3)²-2×2×✓3
= (2-✓3)²
• So,the simplified value of 7-4✓3 is (2-✓3)².
• Now, finally we have to calculate the value of the following term
= ✓m+1/✓m
=( m+1)/✓m
= (7-4✓3+1)/ ✓(2-✓3)² [ because,value of m = (7-4✓3) which is also equal to = (2-✓3)²]
= (8-4✓3)/2-✓3
= 3.85 (approx)
So,the value of the given term in the question is 3.85 . (Answer)
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