how solve and work these radical problems step by step

Question

√45a⁷b⁵÷√5ab

 

√3ab^{3 ×} √12a²b

 

√25x²y⁸

 

y^11÷y¹¹

 

Answer 1

(√45/√5)(√a⁷/√a)(√b⁵/√b)

(√9)(√a⁶)(√b⁴)    because 7-1=6 and 5-1=4

3a³b²

 

(√36)(√a³)(√b⁴)

(6)(a√a)(b²)

6b²a√a

 

5xy⁴

 

y^11-11=y⁰=1, or, any number divided by itself is 1 (except 0 divided by 0 which does not exist)