Question

(3√5 - 5√2) (4√5 + 3√2)
Simplify ​

Answer 1

answer:

-11√10

Step-by-step explanation:

(3√5 - 5√2)(4√5 + 3√2)

=3√5 [4√5 + 3√2] -5√2 [4√5 + 3√2]

=12√25 + 9√10 - 20√10 - 15√4

=12×5 - 11√10 -15×2

=60 -11√10 -60

=60 - 60 -11√10

=0 -11√10

=11√10

1. multiply 3√5 with 4√5 and 3√2 and -5√2 with 4√5 and 3√2.
2. after multiplying add the like surds.
3. after adding recognise the perfect square numbers and multiply the radicant with the perfect square number.(eg: 4√16 = 4×4, because 16 is the square root of 4)
4. after multiplying the radicants with the square number u get 60 as the answer both side so add those rational numbers.(eg: 12√25

=12×5

=60)

5. after adding those rational numbers u get ur

answer as 0.

6. so subtract -11√10 from 0.

7. u get the answer as -11√10