8. Taking √2 = 1.414 and √3 = 1.732, find without using tables or long division, the value of 2/√3-√2
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Step-by-step explanation:
Given: √2=1.414 and √3=1.732
Solution:(4/3√3–2√2)+(3/3√3+2√2)
= 4(3√3+2√2) + 3(3√3–2√2) /(3√3+2√2).(3√3–2√2)
= 12√3 + 8√2 + 9√3 -6√2 / (27–8)
= 21√3 + 2√2 /19
=21×1.732 + 2×1.414 / 19
= 36.372 + 2.828 / 19
= 39.200/19
= 2.063
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