Question

which choices are equivalent to the expression below. check all apply sqrt 6 x sqrt 10A. SQRT 60B. 20C. 60D. SQRT 16E. 2 OVER SQRT 15F. SQRT 4 X SQRT 15

Answer 1

one way to do this is to solve it (to check your answer)

sqrt 6 x sqrt 10= 7,745

A. SQRT 60 = 7,745 this one is correct

B. 20 no

C. 60 no

D. SQRT 16= 4 no

E. 2 OVER SQRT 15= 7,745 this one is correct

F. SQRT 4 X SQRT 15=7,745 this one is correct

you need to do the sqrt of each number

`\begin{gathered} \sqrt[]{6}\text{ = 2,449 }\sqrt[]{10}=3,16 \\ \sqrt[]{6}\cdot\sqrt[]{10}=\text{ 2,449}\cdot3,16\text{ = 7,74} \end{gathered}`

but all this is just a way to check the answer, to solve this you need to apply properties and get to the option, like this=

A=

`\sqrt[]{60}=\sqrt[]{6\cdot10}=\sqrt[]{6}\cdot\sqrt[]{10}`

so A it's correct

you simplify the sqrt to find out if it's the same

let's make the E

E=

`2\sqrt[]{15}=\sqrt[]{4}\cdot\sqrt[]{15}=\sqrt[]{4\cdot15}=\sqrt[]{60}\text{ =}\sqrt[]{6\cdot10}=\sqrt[]{6}\cdot\sqrt[]{10}`

and last one the f

F=

`\sqrt[]{4}\cdot\sqrt[]{15}=\sqrt[]{4\cdot15}=\sqrt[]{60}=\sqrt[]{6\cdot10}=\sqrt[]{6}\cdot\sqrt[]{10}`