Question

true or false

Answer 1

\(\large\tt \color{black}{is~~ \sqrt x\times\sqrt y =\sqrt{xy} ~~for~~ x<0,y<0}\)

Answer 2

if \[\sqrt{7}\times \sqrt{6}=\sqrt{42}\] then what would you think tthe answer is?

Answer 3

false lol

Answer 4

so false?

Answer 5

no....let x=7 and y=6 xy=42 and 42 is under the radical so it is true

Answer 6

ok what for the given condition

Answer 7

@acxbox22

Answer 8

@aum

Answer 9

@cj49

Answer 10

\[\sqrt{-9} \cdot \sqrt{-4}\]
it is for when both x and y are neg
so what does that equal @mathmath333

Answer 11

\[\large \sqrt{-1}\times \sqrt{-1} = i^2 \ne \sqrt{-1\times -1} = 1\]

Answer 12

oh thank, was confused

Answer 13

Most exponent properties have domain restrictions, for example :

\[\large \dfrac{\sqrt{x}}{\sqrt{y}} = \sqrt{\dfrac{x}{y}} \]

is also false if you don't specify the domain

Answer 14

if x,y<0
\[\sqrt{x}\sqrt{y}=i \sqrt{|x|} \cdot i \sqrt{|y|} =i \cdot i \sqrt{|x| \cdot |y|}=-1 \sqrt{|x||y|}=-1 \sqrt{|xy|} \]

Answer 15

or \[-\sqrt{|xy|}\]