Question

Distribute and simplify these radicals: (23(√2 + √3))

a) (2√2 + 6√3)
b) (2/5 + 6)
c) (215)
d) (30)
e) (672 + 6)

Answer 1

To distribute and simplify the given radicals, distribute 23 to both √2 and √3, and then combine like terms to get the simplified form (2√2 + 6√3).

Step-by-step explanation:

To distribute and simplify the given radicals, we can use the distributive property.

First, distribute the 23 to both √2 and √3:

23(√2 + √3) = 23√2 + 23√3

Now we can simplify by combining like terms:

23√2 + 23√3 = 2√2 + 6√3

So the simplified form of (23(√2 + √3)) is (2√2 + 6√3).