Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our Q&A platform and connect with professionals 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 98

Sagot :

HolmesNWatson
When you're simplifying a square root that isn't a square number, the best idea is to find two multiples, one of which is a square number. 49 and 2 are multiples, and 49 is a square number, and this the makes it easier to simplify. This then becomes outside of the root (as this is simplified as far as possible), leaving root 2. Below is the method that shows how they are divided. 
[tex] \sqrt{98} = \sqrt{49 x 2} = \sqrt{49} multiplied by \sqrt{2}= 7\sqrt{2} [/tex]

Hope this helps :) 
TheBlueFox

In this example, we are asked to simplify the square root of 98. First, notice that 98 is not a perfect square. This means that it's impossible to find a whole number times itself which equals 98. However, it's important to understand that the square root of 98 can still be simplified. We can simplify the square root of 98 by setting up a factor tree.

Looking at the image provided, you can notice that there is a pair of sevens in our factor tree. This means that 7 can come out of the radical. Notice that there is also a 2 in our factor tree that does not pair up. This means that the 2 stays inside the radical and this gives us 7 times the square root of 2.

Therefore, the square root of 98 simplifies to 7 root 2 or [tex]\sqrt[2]{7}[/tex].

View image TheBlueFox
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.