Acarpenter has boards of lengths 24, 36, and 42 inches that must be cut into smaller boards of equal length, with no scrap wood left over.

what is the longest length of boards he can cut?

a. 2 inches
b.6 inches

B.6 inches

Step-by-step explanation:

Given: Three boards with measurement  24, 36, and 42 inches.

For the longest length of board we have to find out the H.C.F.

And for H.C.F. we will find out the factors,

Here 2 and 3 is the common factor of given length of boards.

So the H.C.F. is 6.

Hence the longest length of board that carpenter can cut is 6 inches.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d