Question

√(13 - a√10) = √8 + √5 then a =​

Answer 1

Answer:

-4

Step-by-step explanation:

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√(13-a√10)=√8+√5

(13-a√10) = (√8 + √5)²

(13-a√10) = (√8)²+(√5)²+2x√8x√5

(13-a√10) = 8 + 5 + 12.6492

(13-a√10) = 25.6492

-a√10 = 25.6492 - 13

-a√10 = 12.6492

a = 12.6492/-√10

a = -4

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Answer 2

Answer:

Step-by-step explanation:

√(13 - a√10) = √8 + √5

so, 13-a√10 =(√8+√5) ^2 =8+5+2.√8.√5

or,13-a√10 = 13 +2.√8.√5

or,a√10 = - 2.√8.√5

or, a √5.√2 = - 2.√8.√5

or, a = -(2.√8 /√2)

or, a= -2*2

so, a =-4