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3 sqrt(75) + 5 sqrt(243) = 50 sqrt3...

`3 sqrt(75) + 5 sqrt(243) = 50 sqrt3`

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Verified by Experts

Since `3 sqrt(75) + 5 sqrt(243)`
`= 3 sqrt(25 xx 3) + 5 sqrt(81 xx 3)`
`= 3 xx sqrt(25) xx sqrt3 + 5 xx sqrt(81) xx sqrt3`
`= 3 xx 5 xx sqrt3 + 5 xx 9 xx sqrt3`
`= 15 sqrt3 + 45 sqrt3 = 60 sqrt3`
Which is not equal to `50 sqrt3`
Hence the given statement is false
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CALCUTTA BOOK HOUSE-QUADRATIC SURDS-Exercise -3.2
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