Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

simplify square root of 63

Sagot :

so 9 times 7 equals 63.  the square root of 9 is 3.  so you can take the 3 out and leave the 7 in the square root.  you end up with 3 times the square root of 7.
TheBlueFox

Answer: [tex]\sqrt[3]{7}[/tex]

Step-by-step explanation: To simplify the square root of 63, let’s first start by setting up a factor tree. A factor tree is very useful when finding the prime factorization of a number and can help us see it visually. Once we make our factor tree, we need to find out what two numbers multiplied together will give us a product of 63.

In this case, 9 multiplied by 7 will give us a product of 63 so we can write both 9 and 7 under 63.

Next, we can factor 9 because 7 cannot be factored other than itself and 1. The number 9 factors into 3 and 3 so we can write these numbers under 9. Now that we found the factors, we are done with our factor tree. Notice that we have two pairs of 3’s in our factor tree so a 3 can come outside of the radical.

Also, there is a 7 in our factor tree which does not pair up so it can stay inside of the radical. Therefore, the answer to this problem is [tex]\sqrt[3]{7}[/tex].

View image TheBlueFox
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.