Question #10697
Rationalize the denominator:1. 5+3√2/5-3√2
Expert's answer
(5+3√2)/(5-3√2)&
Let's multiply numerator and denominator by 5+3√2:
(5+3√2)^2/{(5-3√2)(5+3√2)}=(5+3√2)^2/(25-18)=(25+30√2+18)/7=(43+30√2)/7
Let's multiply numerator and denominator by 5+3√2:
(5+3√2)^2/{(5-3√2)(5+3√2)}=(5+3√2)^2/(25-18)=(25+30√2+18)/7=(43+30√2)/7
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#339914 on Dec 2023
#339914 on Dec 2023
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