Question

square root 24 - square root 18 + square root 6

equivalent expressions

Answer 1

Start by simplifying the radicals:
√24 = √(4·6) = 2√6, and √18 = √(9·2) = 3√2.

So
√24 − √18 + √6 = 2√6 − 3√2 + √6 = 3√6 − 3√2 = 3(√6 − √2).

Further factor √2 if desired:
3(√6 − √2) = 3√2(√3 − 1).

Equivalent expressions:
- √24 − √18 + √6
- 3√6 − 3√2
- 3(√6 − √2)
- 3√2(√3 − 1)

(Decimal value ≈ 3.10583.)