What is (sqrt(8^2-6^2))/(sqrt(7)) ?

The solution to (sqrt(8^2-6^2))/(sqrt(7)) is 2

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simplify (sqrt(8^2-6^2))/(sqrt(7))

simplify

\frac{8 ^{2} - 6 ^{2}}{7}

2

Solution steps

\frac{8 ^{2} - 6 ^{2}}{7}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{8 ^{2} - 6 ^{2}}{7} = \frac{8 ^{2} - 6 ^{2}}{7}

= \frac{8 ^{2} - 6 ^{2}}{7}

Cancel

\frac{8 ^{2} - 6 ^{2}}{7} : 2 \cdot 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor the number:

4 = 2^{2}

= 2^{2}

Apply radical rule:

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

2^{2} = 2

= 2

- e^{- \frac{x ^{2}}{50}}

\frac{- 18}{- 3}

1.25 \cdot 1 0^{- 10}

\frac{- 50}{- 5}

\frac{2 0 ^{7}}{7 !} e^{- 20}

What is (sqrt(8^2-6^2))/(sqrt(7)) ?
The solution to (sqrt(8^2-6^2))/(sqrt(7)) is 2