Write the following expression in simplified radical form:2√20×5√40

200√5

Step-by-step explanation:

20 = 2 x 2 x 5

√20 = 2√5

40 = 2 x 2 x 10

√40 = 2√10

2√20

= 2 x 2√5

= 4√5

5√40

= 5 x 2√10

= 10√10

2√20 x 5√40

= 4√5 x 10√10

{ √10 = √5 x √2 }

= 4√5 x 10 x √5 x √2

= 10 x 4 x √2 x √5 x √5

{ √5 x √5 = 5 }

= 10 x 4 x √2 x 5

= 10 x 4 x 5 x √2

= 200√5

Hence simplified.

you would need to know all the numbers that are on there

step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5