IDNLearn.com: Your trusted source for finding accurate and reliable answers. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.
Sagot :
To determine which choice is equivalent to [tex]\( \frac{\sqrt{32}}{\sqrt{2}} \)[/tex], let's simplify the expression step by step.
1. Start with the original expression:
[tex]\[ \frac{\sqrt{32}}{\sqrt{2}} \][/tex]
2. Utilize properties of square roots to combine the expression under a single square root. Recall that [tex]\(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\)[/tex]:
[tex]\[ \frac{\sqrt{32}}{\sqrt{2}} = \sqrt{\frac{32}{2}} \][/tex]
3. Perform the division inside the square root:
[tex]\[ \frac{32}{2} = 16 \][/tex]
Thus, the expression simplifies to:
[tex]\[ \sqrt{16} \][/tex]
4. Find the square root of 16:
[tex]\[ \sqrt{16} = 4 \][/tex]
Therefore, the expression [tex]\( \frac{\sqrt{32}}{\sqrt{2}} \)[/tex] simplifies to 4.
Thus, the correct choice equivalent to the quotient [tex]\( \frac{\sqrt{32}}{\sqrt{2}} \)[/tex] is:
[tex]\[ \boxed{4} \][/tex]
The corresponding choice is:
A. 4
1. Start with the original expression:
[tex]\[ \frac{\sqrt{32}}{\sqrt{2}} \][/tex]
2. Utilize properties of square roots to combine the expression under a single square root. Recall that [tex]\(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\)[/tex]:
[tex]\[ \frac{\sqrt{32}}{\sqrt{2}} = \sqrt{\frac{32}{2}} \][/tex]
3. Perform the division inside the square root:
[tex]\[ \frac{32}{2} = 16 \][/tex]
Thus, the expression simplifies to:
[tex]\[ \sqrt{16} \][/tex]
4. Find the square root of 16:
[tex]\[ \sqrt{16} = 4 \][/tex]
Therefore, the expression [tex]\( \frac{\sqrt{32}}{\sqrt{2}} \)[/tex] simplifies to 4.
Thus, the correct choice equivalent to the quotient [tex]\( \frac{\sqrt{32}}{\sqrt{2}} \)[/tex] is:
[tex]\[ \boxed{4} \][/tex]
The corresponding choice is:
A. 4
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.