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Popular >

simplify sqrt(8^2-4^2)

Solution

simplify

8^{2} - 4^{2}

Solution

43

+1

Decimal Notation

6.92820 \dots

Solution steps

8^{2} - 4^{2}

8^{2} - 4^{2} = 48

= 48

Prime factorization of

48 : 2^{4} \cdot 3

= 2^{4} \cdot 3

Apply radical rule:

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

2^{4} \cdot 3 = 2^{4} 3

= 2^{4} 3

2^{4} = 4

= 43

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Frequently Asked Questions (FAQ)

What is sqrt(8^2-4^2) ?
The solution to sqrt(8^2-4^2) is 4sqrt(3)