Simplify the expression square root of 6 times the square root of 33 plus 7

3√ (22) + 7

Step-by-step explanation:

The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.

Number 1

√ (6) x √ (33) + 7

= √ (6 x 33) + 7

= √ (198) + 7

= √ (9 x 22) + 7

= 3√ (22) + 7

Number 2

√ (6) x √ (33 + 7)

= √ (6) x √ (40)

= √ (6) x (4√ (10))

= 4√ (60)

= 8√ (15)