Simplify the given expression. sqrt (9b^4c^2) sqrt (9b^4c^2)=

To simplify the given expression, we can use the property of square roots that states $\sqrt{a^2} = a$.<br /><br />First, let's rewrite the expression inside the square root:<br />$\sqrt{9b^4c^2} = \sqrt{9} \cdot \sqrt{b^4} \cdot \sqrt{c^2}$<br /><br />Now, we can simplify each square root separately:<br />$\sqrt{9} = 3$<br />$\sqrt{b^4} = b^2$<br />$\sqrt{c^2} = c$<br /><br />Putting it all together, we have:<br />$\sqrt{9b^4c^2} = 3b^2c$<br /><br />Therefore, the simplified expression is:<br />$\sqrt{9b^4c^2} = 3b^2c$