If someone could tell me how to express the square root of something, I'll quickly put the problems up here. Thanks.
If you could help simplifying these expressions, and showing the work, that'd be great. Thanks.
^3 sqrt(54x^4)
sqrt(32x^5)
sqrt(5x) multiplied by ^3 sqrt(5x)
5 sqrt (3) + 2 sqrt(12) - 2 sqrt(27)
( 4 sqrt (2) – sqrt (3) ) ( 5 sqrt (2) + 2 sqrt (3))
Hello,
I'm just guessing. I assume that you mean:
$\displaystyle \sqrt[3]{54x^4}=\sqrt[3]{27x^3 \cdot 2x}=3x \cdot \sqrt[3]{2x}$
$\displaystyle \sqrt{32x^5}=\sqrt{16x^4 \cdot 2x}= 4x^2 \cdot \sqrt{2x}$
With the next problem it's easiest if you use powers:
$\displaystyle \sqrt{5x} \cdot \sqrt[3]{5x}=(5x)^{\frac12} \cdot (5x)^{\frac13}=(5x)^{\frac12 + \frac13}=(5x)^{\frac56}$
I'll leave the rest for you.