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The value of the determinant Delta=|(sqr...

The value of the determinant `Delta=|(sqrt(13)+sqrt3,2sqrt5,sqrt5),(sqrt(15)+sqrt(26),5,sqrt(10)),(3+sqrt(65),sqrt(15),5)|` is equal to

A

`15sqrt(2)-25sqrt(3)`

B

`25sqrt(3)-15sqrt(2)`

C

`3sqrt(5)`

D

`-15sqrt(2)+7sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
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Find the value of determinat |{:(sqrt(13)+sqrt(3),2sqrt(5),sqrt(5)),(sqrt(15)+sqrt(26),5,sqrt(10)),(3+sqrt(65),sqrt(15),5):}| .

The value of |{:(sqrt(13 )+ sqrt(3), 2sqrt(5),sqrt(5)),(sqrt(15) + sqrt(26),5,sqrt(10)),(3 + sqrt(65), sqrt(15),5):}|

Find the value of determinant ,sqrt((13))+sqrt(3),2sqrt(5),sqrt(5)sqrt((15))+sqrt((26)),5,sqrt((10))3+sqrt((65)),sqrt((15)),5]|

Find the value of the "determinant" |{:(sqrt13+sqrt3,2sqrt5,sqrt5),(sqrt26+sqrt15,5,sqrt10),(sqrt65+3,sqrt15,5):}|

sqrt(11)+sqrt(3),sqrt(20),sqrt(5)sqrt(15)+sqrt(22),sqrt(25),sqrt(10)3+sqrt(55),sqrt(15),sqrt(25)]|=

(2sqrt3+sqrt5)(2sqrt3+sqrt5)

5sqrt(5)+15sqrt(5) =?

(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) Is equal to :

(2sqrt3 + sqrt5)(2sqrt3 - sqrt5)

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