Question

Which expression is equivalent to 3√50⋅√22 ? A- 30√11 B- 30√22 C- 15√11 D- 15√22

Answer 1

Answer:

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

Answer 2

Answer:

$A. 30 \sqrt{11}$

Step-by-step explanation:

$3 \sqrt{50} \: . \sqrt{22}$

This expression can be rewritten as

$3 \sqrt{50} \times \sqrt{22}$

$= 3 \sqrt{2 \times 25} \times \sqrt{22}$

$= 5 \times 3 \sqrt{2} \times \sqrt{22}$

$= 15\ \sqrt{22 \times 2}$

$= 15\ \sqrt{44}$

$= 15\ \sqrt{4 \times 11}$

$= 15 \times 2\ \sqrt{11}$

$= 30\ \sqrt{11}$