Question

Combine these radicals.

Answer 1

Combine these radicals

8√5 + 2√45

O 4√5

O 10√5

O 14√5 ✓

• 8√5 + 2√45
• ⇢2√5(4 + √9)
• ⇢2√5(4+3)
• ⇢2√5 x 7
• ⇢14√5

O 74√5

Answer 2

`14√(5)`

Explanation:

`8√(5)+2√(45)`

`=8√(5)+2√(9\cdot5)`

Use radical rule
`√(a \cdot b)=√(a)√(b)`

`=8√(5)+2√(9)√(5)`

`=8√(5)+2\cdot3√(5)`

`=8√(5)+6√(5)`

`=(8+6)√(5)`

`=14√(5)`