# Answer to Question #10697 in Other Math for Manthan khorwal

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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