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Popular >

simplify 2xsqrt(x)(2sqrt(x))

Solution

simplify

2 x x (2 x)

Solution

4 x^{2}

Solution steps

2 x x (2 x)

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

= x x \cdot 2^{2} x

Apply radical rule:

a a = a

x x = x

= 2^{2} xx

Apply exponent rule:

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

xx = x^{1 + 1}

= 2^{2} x^{1 + 1}

Refine

= 4 x^{2}

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Frequently Asked Questions (FAQ)

What is 2xsqrt(x)(2sqrt(x)) ?
The solution to 2xsqrt(x)(2sqrt(x)) is 4x^2