Hi everyone simple question i really need help with What is the exact value of the square root of 28 over 9 the square root of 16.? Simplify if possible. Answer the square root of 7 over 9. 2 over 9. the square root of 7 over 18. 2 over 18.
can you draw it?
like the equation
is this correct? \[ \LARGE \frac{\sqrt{28}}{9\sqrt{16}} \]
http://go.flvs.net/courses/1/flvs_19_3704_12585/ppg/educator_algebra1_v10/10_10_92.gif
yes
the answers if you want
then \[ \LARGE \frac{\sqrt{28}}{9\sqrt{16}}=\frac{\sqrt{4\cdot 7}}{9\sqrt{4\cdot 4}} \] can you go on?
sqrt(28) ----- 9 sqrt(16)
no! apply the properties of roots (distribution of powers to products)
hmm
seriously! \[ (ab)^n=a^nb^n \] so \[\large \frac{\sqrt{4\cdot7}}{9\sqrt{4\cdot4}}=\frac{\sqrt{4}\sqrt{7}}{9\sqrt{4}\sqrt{4}} =\frac{\sqrt{7}}{9\sqrt{4}} \]
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