Question

What is the exact value of the expression the square root of 294. − the square root of 24. + the square root 54.? Simplify if possible.

Answer 1

√294 - √24 + √54

√294 ⇒ √49 * 6 ⇒ 7 √6
√24 ⇒ √4 * 6 ⇒ 2 √6
√54 ⇒ √9 * 6 ⇒ 3 √6

7√6 - 2√6 + 3√6 ⇒ (7-2+3) √6 ⇒ 8√6