plz simplify it , it's urgent 14.
If a = 7-4√3, find the value of √a +1/√a.
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Answered by
2
Answer :
Given,
a = 7 - 4√3
= 4 - 4√3 + 3
= 2² - (2 × 2 × √3) + (√3)²
= (2 - √3)²
So, √a = 2 - √3
Now,
1/√a = 1/(2 - √3)
= (2 + √3)/{(2 - √3)(2 + √3)}
= (2 + √3)/(4 - 3)
= 2 + √3
Therefore,
√a + 1/√a
= 2 - √3 + 2 + √3
= 4
#MarkAsBrainliest
Given,
a = 7 - 4√3
= 4 - 4√3 + 3
= 2² - (2 × 2 × √3) + (√3)²
= (2 - √3)²
So, √a = 2 - √3
Now,
1/√a = 1/(2 - √3)
= (2 + √3)/{(2 - √3)(2 + √3)}
= (2 + √3)/(4 - 3)
= 2 + √3
Therefore,
√a + 1/√a
= 2 - √3 + 2 + √3
= 4
#MarkAsBrainliest
jatinkumarsharma:
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Answered by
0
Hi there!
Given :-
a = 7 - 4√3
= 4 - 4√3 + 3
= 2² - (2 × 2 × √3) + (√3)²
= (2 - √3)²
Thus, √a = 2 - √3
Now,
1 /√a = 1 / (2 - √3)
= (2 + √3) / [ (2 - √3)(2 + √3) ]
= (2 + √3) / (4 - 3)
= 2 + √3
Thus,
√a + 1 /√a
= 2 - √3 + 2 + √3
= 2 + 2
= 4
Hence, The required answer is :- √a + 1 /√a = 4
Hope it helps! :)
Given :-
a = 7 - 4√3
= 4 - 4√3 + 3
= 2² - (2 × 2 × √3) + (√3)²
= (2 - √3)²
Thus, √a = 2 - √3
Now,
1 /√a = 1 / (2 - √3)
= (2 + √3) / [ (2 - √3)(2 + √3) ]
= (2 + √3) / (4 - 3)
= 2 + √3
Thus,
√a + 1 /√a
= 2 - √3 + 2 + √3
= 2 + 2
= 4
Hence, The required answer is :- √a + 1 /√a = 4
Hope it helps! :)
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