If \(\sqrt{13-a\sqrt{10}}\) = √8 + √5, then a = A. - 5B. - 6C.

1.	If \(\sqrt{13-a\sqrt{10}}\) = √8 + √5, then a = A. - 5B. - 6C. - 4D. - 2
Answer» √(13 - a√10) =√8 +√5 Squaring both side,.. = 13 – a√10 = 8 + 5 + 2 ×√8 ×√5 = 13 – a√10 = 13 + 2√40 = - a√10 = 4√10 = a = - 4

If \(\sqrt{13-a\sqrt{10}}\) = √8 + √5, then a = A. - 5B. - 6C. - 4D. - 2

Answer»

√(13 - a√10) =√8 +√5

Squaring both side,..

= 13 – a√10 = 8 + 5 + 2 ×√8 ×√5

= 13 – a√10 = 13 + 2√40

= - a√10 = 4√10

= a = - 4

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