Question

Seriously omg don’t type answers and then stop! Just put your explanation even if you think I might not understand it idc! Just try! Please I seriously need help!! #7 (Algebra 2)

Answer 1

Hello from MrBillDoesMath!

Answer:  6 * p^(3/2) * q^4

Discussion:

We are evaluating

sqrt  { 36 * p^3 q^8 }

where "sqrt" indicates the square root and the ^ (as in q^8) means "raised to the power of:

The square root of the product is the product of the square roots. (Say that 5 time out loud quickly!). So the above equation becomes

sqrt  { 36 * p^3 q^8 }  =

sqrt( 36) * sqrt( p^3) * sqrt (q^8)

The square root of 36 is 6 as 6* 6 = 36 so the equation equals

6 *  p ^ (3/2) * q^ (8/2)        

Note that  the square root of a number, for example, r, is the same as raising the number to the (1/2) power.  That's where the (1/2) terms came from above.

But 8/2 = 4 so the equation simplifies to

6 * p^(3/2) * q^4

Thank you,

MrB