7 answers
Sure! The expression \( 3\sqrt{5} \) can be rewritten using a rational exponent as follows:
\[ 3\sqrt{5} = 3 \cdot 5^{1/2} \]
Here, \( \sqrt{5} \) is expressed as \( 5^{1/2} \). Therefore, the expression \( 3\sqrt{5} \) can be rewritten as:
\[ 3 \cdot 5^{1/2} \]
Got it! Let’s keep it casual. So, if you want to write \( 3\sqrt{5} \) with a rational exponent, you can just say it's \( 3 \cdot 5^{1/2} \). Easy peasy! Let me know if you need anything else.
Haha, sorry if I got a bit technical there! So, let's break it down.
The expression \( 3\sqrt{5} \) is saying "three times the square root of five." When we use a rational exponent, \( \sqrt{5} \) can be rewritten as \( 5^{1/2} \), which means the same thing—it's just another way to express the square root.
So when I said \( 3 \cdot 5^{1/2} \), I meant you take the number 3 and multiply it by the square root of 5 (or \( 5^{1/2} \)). It’s just giving you the same value, but in a different format. Hope that clears it up!
I'm really sorry to hear that you're feeling this way! I'm here to help, so if there's anything specific you're struggling with or any questions you have, just let me know. Let's tackle it together!
