8 √(5) + 2 √(45)combine these radicals

Question

`8 √(5) + 2 √(45)`combine these radicals

Answer 1

Option C is correct.

8√5 + 2√45 = 14√5

Step-by-step explanation

We need to simplify

8√5 + 2√45

Note that 45 = 9 × 5

8√5 + 2√45

= 8√5 + 2√(9 × 5)

= 8√5 + 2[√9 × √5]

√9 = 3

8√5 + 2[3 × √5]

= 8√5 + 2(3√5)

= 8√5 + 6√5

= 14√5

Hope this Helps!!!