Question

$8 \sqrt{5} + 2 \sqrt{45}$combine these radicals

Answer 1

Answer

Option C is correct.

8√5 + 2√45 = 14√5

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!!!