If a and b are rational numbers, find their value if :3 √5+ √3/√

1.	If a and b are rational numbers, find their value if :3 √5+ √3/√5− √3 = a + b√15
Answer» Answer: MARK me as brainlist Step-by-step explanation: It is given that 5 − 3 5 + 3 =a+b 15 SIMPLIFY the term on the L.H.S. by rationalizing, 5 − 3 5 + 3 × 5 + 3 5 + 3 = ( 5 ) 2 −( 3 ) 2 ( 5 + 3 ) 2 = 5−3 ( 5 ) 2 +( 3 ) 2 +2 5 3 = 2 5+3+2 15 = 2 8+2 15 =4+ 15 Now, 4+ 15 =a+b 15 ⇒a=4 and b=1

If a and b are rational numbers, find their value if :3 √5+ √3/√5− √3 = a + b√15

Answer»

Answer:

MARK me as brainlist

Step-by-step explanation:

It is given that

−

=a+b

SIMPLIFY the term on the L.H.S. by rationalizing,

−

(

)

−(

)

(

)

5−3

(

)

5+3+2

8+2

=4+

Now,

=a+b

⇒a=4 and b=1