What is sqrt((-9-(-7))^2+(6-2)^2) ?

The solution to sqrt((-9-(-7))^2+(6-2)^2) is 2sqrt(5)

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simplify sqrt((-9-(-7))^2+(6-2)^2)

simplify

(- 9 - (- 7))^{2} + (6 - 2)^{2}

25

Solution steps

(- 9 - (- 7))^{2} + (6 - 2)^{2}

Apply rule:

a - (- b) = a + b

- 9 - (- 7) = - 9 + 7

= (- 9 + 7)^{2} + (6 - 2)^{2}

(- 9 + 7)^{2} + (6 - 2)^{2} = 20

= 20

Prime factorization of

20 : 2^{2} \cdot 5

= 2^{2} \cdot 5

Apply radical rule:

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

2^{2} \cdot 5 = 2^{2} 5

= 2^{2} 5

Apply radical rule:

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

2^{2} = 2

= 25

25 + 25 tan^{2} (5 x)

\frac{5 6 + 3}{4 ( 6 ) ^{2}}

(6) (15)

(4 y^{2} + 7 y - 2) - (- 3 y^{2} - 5 y + 10)

- 4 x^{2} + 1

What is sqrt((-9-(-7))^2+(6-2)^2) ?
The solution to sqrt((-9-(-7))^2+(6-2)^2) is 2sqrt(5)