Question

change into mixed surds
1) √250
2)√147
3)√180​

Answer 1

Answer:

a1/n = n√a

n√a = a1/n

n√(ab) = n√a x n√b

(n√a)n = a

Law 5 :

m√(n√a) = mn√a

Law 6 : (n√a)m = n√am

Laws of Indices

Law 1 :

xm ⋅ xn = xm+n

Law 2 :

xm ÷ xn = xm-n

Law 3 :

(xm)n = xmn

Law 4 :

(xy)m = xm ⋅ ym

Law 5 :

(x / y)m = xm / ym

Law 6 :

x-m = 1 / xm

Law 7 :

x0 = 1

Law 8 :

x1 = x

Law 9 :

xm/n = y -----> x = yn/m

Law 10 :

(x / y)-m = (y / x)m

Law 11 :

ax = ay -----> x = y

Law 12 :

xa = ya -----> x = y