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simplify √27x^5 √3x^3
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what is a common number found in each discriminent? we have a 27x^5 and a 3x^3, what can you factor out?
\(\bf \large \sqrt{27}x^5\times \sqrt{3}x^3\quad ?\)
yes how do you simplify that
\(\bf \sqrt{27}x^5\times \sqrt{3}x^3\implies \sqrt{27\times 3}x^5x^3\) and as you recall from the rules of exponents, same base, you add the exponents, thus \(\bf \sqrt{27}x^5\times \sqrt{3}x^3\implies \sqrt{27\times 3}x^5x^3\implies \sqrt{27\times 3}x^{5+3}\)
would it be x√3x 3times2x√3x?
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\[x \sqrt{3x}\] \[3\times2x \sqrt{3x}\]
hmmm \(\bf \large \sqrt{27}x^5\times \sqrt{3}x^3\) has the "x" variables outside the radical
the x^5 and x^3 are both in the square root
is it like this? |dw:1384295711721:dw|
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