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Popular >

simplify (2sqrt(2)x)^2

Solution

simplify

(22 x)^{2}

Solution

8 x^{2}

Solution steps

(22 x)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(22 x)^{2} = 2^{2} (2)^{2} x^{2}

= 2^{2} (2)^{2} x^{2}

2^{2} = 4

= 4 (2)^{2} x^{2}

(2)^{2} = 2

= 4 \cdot 2 x^{2}

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{2}

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Frequently Asked Questions (FAQ)

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