2. What is the geometric mean of 4 and 12? Use radicals when neede
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ganeshie8 (ganeshie8):
multiply the numbers and take "square root"
OpenStudy (anonymous):
okay I got 48, how do I take the square root? Sorry, i'm pretty clueless with this.
563blackghost (563blackghost):
You would simply just find the square root of 48...so do you need this in radical form or decimal ?
OpenStudy (anonymous):
Radical form
563blackghost (563blackghost):
So to get it in radical form we would find two factors of 48 in which one is a perfect square....so in this case 16 and 3....
\(\Huge{\sqrt{16 \times 3}}\)
What number multiples itself to equal 16?
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OpenStudy (anonymous):
8
563blackghost (563blackghost):
Not quite.
\(\Huge{8 \times 8 = 64 \neq 16}\)
OpenStudy (anonymous):
4x4=16 sorry I was thinking addition lol
563blackghost (563blackghost):
Correct ^^ Now that we know that the square root of 16 is 4 we would take the 4 to the outside of the root and leave the 3 there...so the radical form is...
\(\Huge{4\sqrt{3}\)
563blackghost (563blackghost):
\(\Huge{4\sqrt{3}}\)*
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