Add 2√8+3√8(1 point)

Answer 1

To simplify 2√8 + 3√8, we first notice that both terms have √8 in them. We can factor out the common √8 from both terms:

2√8 + 3√8
= √8(2 + 3)
= √8(5)

Next, we simplify √8 by breaking down the square root into its factors. The largest perfect square factor of 8 is 4:

√8 = √(4 * 2)
= √4 * √2
= 2√2

Therefore:

2√8 + 3√8
= √8(5)
= 2√2 * 5
= 10√2

So, 2√8 + 3√8 simplifies to 10√2.