Question

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Answer 1

can you give it in an equation form ? this is so confusing.

Answer 2

you took the square root of perfect squares.

if you can find a pair inside a square root, you can "pull one out"
example: sqrt(3*3) = 3 (take out the pair of 3's, and replace with a single 3 outside the square root)


for letters: sqrt(x^3 * x^3) you get x^3

Answer 3

I know what your asking but I do not know hot to do the problem... sorry sweety :)

Answer 4

\[ \sqrt {32 x^7} \]
break up the number 32 into 2*16= 2*2*8= 2*2*2*4= 2*2*2*2*2
now look for pairs: (2*2) * (2*2) * 2
we have two pairs of 2's and one left over. pull out each pair, and replace it with a single 2

\[ \sqrt {32 x^7} = \sqrt{ (2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot x^7}= 2 \sqrt{ (2 \cdot 2) \cdot 2 \cdot x^7} = 2 \cdot 2\sqrt{ 2 \cdot x^7} = 4 \sqrt{ 2 \cdot x^7} \]

Answer 5

for the x^7 it is easiest if we know that x^7 means x times itself 7 times
x*x*x * x*x*x * x
and group 3 x's together to get a pair of (x*x*x)
\[ 4 \sqrt{2 x^7} = 4\sqrt{2 \cdot ( x\cdot x \cdot x) \cdot (x\cdot x \cdot x) \cdot x}\]
pull out the pair, and replace it with just once copy outside the square root
\[ 4 \cdot (x\cdot x \cdot x) \sqrt{2 x}\]
normally you would use exponents to make it look prettier:
\[ 4 x^3\sqrt{2x} \]