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Popular >

simplify (2sqrt(2)x^{1/2})^2

Solution

simplify

(22 x^{\frac{1}{2}})^{2}

Solution

8 x

Solution steps

(22 x^{\frac{1}{2}})^{2}

Apply exponent rule:

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

(22 x^{\frac{1}{2}})^{2} = 2^{2} (2)^{2} (x^{\frac{1}{2}})^{2}

= 2^{2} (2)^{2} (x^{\frac{1}{2}})^{2}

2^{2} = 4

= 4 (2)^{2} (x^{\frac{1}{2}})^{2}

Simplify

(x^{\frac{1}{2}})^{2} : x

= 4 (2)^{2} x

(2)^{2} = 2

= 4 \cdot 2 x

Multiply the numbers:

4 \cdot 2 = 8

= 8 x

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4 n^{2} + 16 n + 15

625 \geq 5^{a + 8}

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3 (x + 5) + x (x + 5)

simplify (5^6)/(5^2)simplify

\frac{5 ^{6}}{5 ^{2}}

Frequently Asked Questions (FAQ)

What is (2sqrt(2)x^{1/2})^2 ?
The solution to (2sqrt(2)x^{1/2})^2 is 8x