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Popular >

simplify sqrt(4^2-2^2)

Solution

simplify

4^{2} - 2^{2}

Solution

23

+1

Decimal Notation

3.46410 \dots

Solution steps

4^{2} - 2^{2}

4^{2} - 2^{2} = 12

= 12

Prime factorization of

12 : 2^{2} \cdot 3

= 2^{2} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 3 = 2^{2} 3

= 2^{2} 3

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 23

Popular Examples

\frac{2}{9} \div \frac{5}{12}

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Frequently Asked Questions (FAQ)

What is sqrt(4^2-2^2) ?
The solution to sqrt(4^2-2^2) is 2sqrt(3)