How do you simplify $sqrt(20a^13 b) * sqrt(8a^14 b^12)$ ?

Question

1208 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-23T12:22:38

$4a^13b^6sqrt(10ab)$

Look for values that can be squared. These can be taken outside the square root.

As an example, note that $(a^2)^7=a^(2xx7)=a^14$

Given: $" "sqrt(20a^13b)" "xx" "sqrt(8a^14b^12)$

Write as: $" "sqrt(2^2xx5xx(a^2)^6xxaxxb)xxsqrt(2^2xx2xx(a^2)^7xx(b^2)^6)$

$=>2a^6sqrt(5ab) xx2a^7b^6sqrt(2)$

$=>4a^13b^6sqrt(10ab)$

How do you simplify sqrt(20a^13 b) * sqrt(8a^14 b^12)sqrt(20a^13 b) * sqrt(8a^14 b^12)?