Brandon W said:
Yesterday in Maths C we were working with Surds. Surds are one of my favourite things about maths and I can do them really well. Well from how far we have gone with them as of now. We have done Simplifying and all the operations. But there is one question that I don't understand.
1/2 √100a^3b^2 + ab √36a - 5 √4a^2b
1/2 x 10ab √a + 6ab √a - 10a √b
5ab √a + 6ab √a - 10a √b
11ab √a - 10a √b
That was it. I understand all of it, besides one thing. From the first line to the second line. In the first term in the square root it is a^3 but on the second line there is one taken outside of the square root and a second left in the square root. What happened to the third one? This repeats in the last term.
Anyone please explain? I asks the teacher to explain and I didn't understand.
In the US we call them radicals. Here's the details from line one to line two:
1/2 √(100a^3b^2) + ab √(36a) - 5 √(4a^2b)
1/2 √(10*10 a*a*a b*b) + ab √(6*6 a) - 5 √(2*2 a*a b)
1/2 √(10*10 a*a b*b) √(a) + ab √(6*6) √(a) - 5 √(2*2 a*a) √(b)
1/2 x 10ab √a + 6ab √a - 10a √b
In general, √(a*a) = a