Question

Which expression is equivalent to 3√50⋅√22 ?

A- 30√11
B- 30√22
C- 15√11
D- 15√22

Answer 1

`A. 30 √(11)`

Explanation:

`3 √(50) \: . √(22)`

This expression can be rewritten as

`3 √(50) * √(22)`

`= 3 √(2 * 25) * √(22)`

`= 5 * 3 √(2) * √(22)`

`= 15\ √(22 * 2)`

`= 15\ √(44)`

`= 15\ √(4 * 11)`

`= 15 * 2\ √(11)`

`= 30\ √(11)`

Answer 2

option A

30√11

Explanation:

Given in the question an expression,

3√50 . √22

Step 1

write factors of integer inside square root

√50 = √(2x5x5)

√22 = √(11x2)

Step 2

√(2x5x5) can be written as √(2x5²) = √2√5² = 5√2

Step 3

rewrite the above expression

(3)5√2 . √(11x2)

15√2. √11x2

15√2x2x11

15√2²√11

15(2)√11

30√11