What is sqrt(8^2-4*2*5) ?

The solution to sqrt(8^2-4*2*5) is 2sqrt(6)

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Popular >

simplify sqrt(8^2-425)

simplify

8^{2} - 4 \cdot 2 \cdot 5

26

Decimal Notation

4.89897 \dots

Solution steps

8^{2} - 4 \cdot 2 \cdot 5

8^{2} - 4 \cdot 2 \cdot 5 = 24

= 24

Prime factorization of

24 : 2^{3} \cdot 3

= 2^{3} \cdot 3

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 2^{2} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 26

- 7 x - 50 \leq - 1 and - 6 x + 70 > - 2

x^{2} + 7 x + 12 \leq 0

(\frac{2148}{10000})^{2} + (\frac{x}{10000})^{2} = 1

\frac{1}{5} - 5

\frac{1}{6} (x + 6) = 11