write whether 2√45+3√20/2√5 on simplification gives an irrational or a rational number
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Answered by
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2√45+3√20/2√5;
=√5×[2√45+3√20/2√5];
=√5×(2√45+3√20/2)/2×(√5×√5);
=2√45·5+3√20·5/2×5;
=2√9·5·5+3√4·5·5/10;
=2√9·25+3√4·25/10;
=2×3×5+3×2×5/10;
=30+30/10;
=60/10;
=6
Hope it helpful
2√45+3√20/2√5;
=√5×[2√45+3√20/2√5];
=√5×(2√45+3√20/2)/2×(√5×√5);
=2√45·5+3√20·5/2×5;
=2√9·5·5+3√4·5·5/10;
=2√9·25+3√4·25/10;
=2×3×5+3×2×5/10;
=30+30/10;
=60/10;
=6
Hope it helpful
Answered by
27
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