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If sqrt2=1.414&sqrt3=1.732, find the value of (4)/(3sqrt3-2sqrt2)

88. If 2=1.414&3=1.732 \sqrt{2}=1.414 \& \sqrt{3}=1.732 , find the value of 433−22 \frac{4}{3 \sqrt{3}-2 \sqrt{2}}

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Full solution

Q. 88. If 2=1.414&3=1.732 \sqrt{2}=1.414 \& \sqrt{3}=1.732 , find the value of 433−22 \frac{4}{3 \sqrt{3}-2 \sqrt{2}}
  1. Plug in values: Plug in the given values for 2\sqrt{2} and 3\sqrt{3}.43×1.732−2×1.414\frac{4}{3\times 1.732 - 2\times 1.414}
  2. Perform multiplication: Perform the multiplication. 45.196−2.828\frac{4}{5.196 - 2.828}
  3. Subtract values: Subtract the values in the denominator. (4)/(2.368)(4)/(2.368)
  4. Divide and find final answer: Divide 44 by 2.3682.368.\newlinefinal\_answer = 1.6891.689

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