Answer
$20a$
Work Step by Step
Step 1: $\sqrt {8a}\times\sqrt {50a}$
Step 2: $\sqrt 8\times\sqrt a\times\sqrt {50}\times\sqrt a$
Step 3: $\sqrt 8\times\sqrt {50}\times\sqrt a\times\sqrt a$
Step 4: $\sqrt {8\times50}\times a$
Step 5: $\sqrt {400}\times a$
Step 6: $\sqrt {4\times100}\times a$
Step 7: $\sqrt 4\times\sqrt {100}\times a$
Step 8: $2\times10\times a$
Step 9: $20a$