If root(13 – a 10) = root8 + root5, then a =
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According to question,
√(13 - a√10) = √8 + √5
Squaring on both sides
={√(13 - a√10)}²= (√8 + √5)²
=13 - a√10= (√8)² + 2x√8x√5 + (√5)²
=13 - a√10= 8 + 2√40 + 5
=13 - a√10= 13 + 2x2√10
=13 - a√10= 13 + 4√10
=13 - 13 - a√10= 4√10
= -a√10= 4√10
= -a= 4√10/√10
= -a= 4
= a= -4
Therefore,
a= -4
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