Question

Please. Simplify. It fast​

Answer 1

Answer:

√10-√5

Step-by-step explanation:

15/√10+√20+√40-√5-√80

=15/√5.√2+√5.√4+√5.√8-√5-√5.√16

[:-√10=√5×√2,

similarly,√20=√5×√4]

=15/√5(√2+2+2√2-1-4)

=15/√5(3√2-3)

=15/√5.3(√2-1)

=5/√5(√2-1)

=√5/(√2-1) [as √5×√5=5]

=√5.(√2+1)/(√2)^2-(1)^2

[for rationalize denominator

we multiple by it's positive

form i.e, (√2+1)]

=√5.√2+√5/2-1

=√10+√5