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PICKEL519

Not sure the right equation so i did both....

#1 - √12m√15m=1m√2

Simplifies to:

13.416408m2=1.414214m

Let's solve your equation step-by-step.

13.416408m2=1.414214m

Step 1: Subtract 1.414214m from both sides.

13.416408m2−1.414214m=1.414214m−1.414214m

13.416408m2−1.414214m=0

Step 2: Factor left side of equation.

m(13.416408m−1.414214)=0

Step 3: Set factors equal to 0.

m=0 or 13.416408m−1.414214=0

m=0 or m=0.105409

Answer:  m=0 or m=0.105409


#2 - √12m√15m

Simplifies to:

13.416408m2

=13.416408*m2

=13.416408*(m*m)

=13.416408m2


Can I get a brainliest Please & Thank you...

LammettHash

I believe [1] and [2] are again placeholders, and not the numbers 1 and 2. Combine the square roots on the left side:

[tex]\sqrt{12m}\cdot\sqrt{15m}=\sqrt{12m\cdot15m}=\sqrt{180m^2}[/tex]

Notice that

[tex]180=2^2\cdot3^2\cdot5[/tex]

so we have

[tex]\sqrt{180m^2}=\sqrt{2^2\cdot3^2\cdot5\cdotm^2}=\sqrt{(2\cdot3\cdot m)^2\cdot5}=\sqrt{(2\cdot3\cdotm)^2}\cdot\sqrt5[/tex]

[tex]=\sqrt{(6m)^2}\cdot\sqrt5=6m\sqrt5[/tex]

(where [tex]\sqrt{m^2}=m[/tex] only if [tex]m\ge0[/tex])

So I would imagine the solution is [1] = 6 and [2] = 5.

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