If root 2=1.4 and root 3 =1.7 find the value of 2-√3/√3
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Answer:
Step-by-step explanation:
Given : √3 = 1.7 , √2 = 1.4
To find : 1/(√3 - √2) , 1/(3 + 2√2)
Solution:
1/√3 - √2
multiplying numerator & denominator by √3 + √2
= ( √3 + √2) / (√3 + √2)(√3 - √2)
= ( √3 + √2) / (3 - 2)
= ( √3 + √2) / 1
= √3 + √2
√3 = 1.7 , √2 = 1.4
= 1.7 + 1.4
= 3.1
1/(3 + 2√2)
= (3 - 2√2)/ (9 - 8)
= (3 - 2√2)/1
= 3 - 2√2
= 3 - 2*1.4
= 3 - 2.8
= 0.2
1/(√3 - √2) = 3.1
1/(3 + 2√2) = 0.2
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