I keep getting confused as to what to do with the x's. Please have an explanation, Thank you!(:
√6x^3 * √150x^2
√6x^3 * √150x^2
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√6x^3* √150x^2=
√900x^5 = [ 6*150= 900 and x^3 * x^2 = x^5]
30*√x^5 = [the square root of 900 is 30, we leave the x^5 inside for now]
= 30√(x^4*x^1) [ first we break down x^5 into x^4*x^1]
= 30x^2√x [ the square root of x^4 is just x^2. When you take a square root you take it to the power of a half. When raising a power to another power, you multiply the powers. so 4*1/2=2
some examples:
(x^6)^1/2= x^3 [6*1/2=3]
(x^6)^1/3= x^2 [6*1/3= 2]
√900x^5 = [ 6*150= 900 and x^3 * x^2 = x^5]
30*√x^5 = [the square root of 900 is 30, we leave the x^5 inside for now]
= 30√(x^4*x^1) [ first we break down x^5 into x^4*x^1]
= 30x^2√x [ the square root of x^4 is just x^2. When you take a square root you take it to the power of a half. When raising a power to another power, you multiply the powers. so 4*1/2=2
some examples:
(x^6)^1/2= x^3 [6*1/2=3]
(x^6)^1/3= x^2 [6*1/3= 2]