How To Add Fractions With Radicals In Numerator

we're asked to find thesquare root of 100. let me write this down bigger. so the square root is thisbig check-looking thing. the square root of 100. when you see it like this,this means the

How To Add Fractions With Radicals In Numerator, positive square root. if you're familiar with negativenumbers, you know that there's also a negativesquare root, but when you just see this symbol, that meansthe positive square root.

so let's think about whatthis is saying. this is asking us find thenumber, the positive number, that when i multiply that numberby itself, i get 100. so what number when i multiplyit by itself do i get 100? well, let's see, if i multiply9 by itself, that's only going to be 81. if i multiply 10 by itself,that is 100. so this is equal to-- and letme write it this way. normally, you couldskip this step.

but you could write this asthe square root of-- and instead of 100, 100 is the samething as 10 times 10. and then you know, the squareroot of something times itself, that's just goingto be that something. this is just equal to 10. so the square rootof 100 is 10. or another way you could write,i guess, this same truth is that 10 squared, whichis equal to 10 times 10, is equal to 100.