If a,b,c are rational such that, a+b2+c3=0, then

Given,a+b2+c3=0Here, a is rationalAnd b2,c3 are dissimilar surds∴Their sum is equal to zeroOnly whena=b=c=0

If a,b,c are rational such that, a+b2+c3=0, then

Given,a+b2+c3=0Here, a is rationalAnd b2,c3 are dissimilar surds∴Their sum is equal to zeroOnly whena=b=c=0

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If $a, b, c$ are rational such that, $a + b \sqrt{2} + c \sqrt{3} = 0$ , then

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$a = 0, b = 0, c = 0$

$a = 1, b = 0, c = 0$

$a = 0, b = 0, c = 1$

$a = 1, b = 1, c = 1$

answer is A.

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Detailed Solution

Given, $a + b \sqrt{2} + c \sqrt{3} = 0$

Here, $a$ is rational

And $b \sqrt{2}, c \sqrt{3}$ are dissimilar surds

$∴$ Their sum is equal to zero

Only when $a = b = c = 0$

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If a,b,c are rational such that, a+b2+c3=0, then

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If $a, b, c$ are rational such that, $a + b \sqrt{2} + c \sqrt{3} = 0$ , then