Question

simplify 2√30/√6 - 3√140/√28 + √55/√99

Answer 1

(2√30/√6) - (3√140/√28) + (√55/√99)

=(2√5×√6/√6) - ( 3√5×√28/√28) + (√11×√5/√11×√9)

(cancel )

= (2√5) - (3√5) + (√5/√9)

= 2√5 - 3√5 + (√5/3)

= (2-3)√5 + (√5/3)

(take common as √5)

= -1√5 + (√5/3)

(LCM OF 1 and 3 is 3)

= (-3√5+√5)/3

= (-3+1)√5/3

(take common as √5)

= -2√5/3

Answer 2

Answer:

-2/3√5

Step-by-step explanation:

2√30/√6-3√140/√28+√55/√99

=(2×√5×√6) - (3√5×√28/√28) + (√11×√5/√11×√9)

[ cancel the same expression ]

= (2√5) - (3√5) + (√5/√9)

= 2√5- 3√5+ √5/3

= -1√5+√5/3

= -3√5+√5/3. {taking LCM of 3}

= -2/3√5

HOPE HELPED!