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Popular >

simplify 2sqrt(2)(2sqrt(2))

Solution

simplify

22 (22)

Solution

8

Solution steps

22 (22)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2 = 2^{1 + 1}

= 2 \cdot 2^{1 + 1} 2

Add the numbers:

1 + 1 = 2

= 2 \cdot 2^{2} 2

Apply radical rule:

a a = a

22 = 2

= 2^{2} \cdot 2

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{2} \cdot 2 = 2^{2 + 1}

= 2^{2 + 1}

Add the numbers:

2 + 1 = 3

= 2^{3}

2^{3} = 8

= 8

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Frequently Asked Questions (FAQ)

What is 2sqrt(2)(2sqrt(2)) ?
The solution to 2sqrt(2)(2sqrt(2)) is 8