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Popular >

simplify 2tsqrt(t)(2sqrt(t))

Solution

simplify

2 t t (2 t)

Solution

4 t^{2}

Solution steps

2 t t (2 t)

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

= t t \cdot 2^{2} t

Apply radical rule:

a a = a

t t = t

= 2^{2} tt

Apply exponent rule:

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

tt = t^{1 + 1}

= 2^{2} t^{1 + 1}

Refine

= 4 t^{2}

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Frequently Asked Questions (FAQ)

What is 2tsqrt(t)(2sqrt(t)) ?
The solution to 2tsqrt(t)(2sqrt(t)) is 4t^2