icon

Usetutoringspotscode to get 8% OFF on your first order!

How do you simplify the square root of 18 minus the square root of 50?

You check to see what you can extract from those radicals.

You expression looks like this

##sqrt(18) – sqrt(50)##

Write the prime factors of these two numbers to see if you can find write tham as products of a perfect square and another number

##18 = 2 * 9 = 2 * 3 * 3 = 2 * 3^2##

##50 = 2 * 25 = 2 * 5 * 5 = 2 * 5^2##

You can thus write, with the help of the product property of radicals, an equivalent expression that looks like this

##sqrt(2 * 3^2) – sqrt(2 * 5^2) = sqrt(2) * sqrt(3^2) – sqrt(2) * sqrt(5^2)##

Finally, you get

##3 * sqrt(2) – 5 * sqrt(2) = color(green)(-2sqrt(2))##


You can leave a response, or trackback from your own site.

Leave a Reply

Powered by WordPress | Designed by: Premium WordPress Themes | Thanks to Themes Gallery, Bromoney and Wordpress Themes