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

a- 30√11
b- 30√22
c- 15√11
d- 15√22

option A

30√11

Step-by-step 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

Step-by-step explanation:

This expression can be rewritten as