What is sqrt((\sqrt{11)-3)^2+(sqrt(11)+3)^2} ?

The solution to sqrt((\sqrt{11)-3)^2+(sqrt(11)+3)^2} is 2sqrt(10)

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simplify sqrt((\sqrt{11)-3)^2+(sqrt(11)+3)^2}

simplify

(11 - 3)^{2} + (11 + 3)^{2}

210

Decimal Notation

6.32455 \dots

Solution steps

(11 - 3)^{2} + (11 + 3)^{2}

(11 - 3)^{2} + (11 + 3)^{2} = 40

= 40

Prime factorization of

40 : 2^{3} \cdot 5

= 2^{3} \cdot 5

Apply exponent rule:

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

2^{3} \cdot 5 = 2^{2} \cdot 2 \cdot 5

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

Apply radical rule:

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

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

= 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 210

∣ x - 4 ∣ > - 1

\frac{3 x - 2}{x - 1} \geq 0

(31/2) + 96 + 5 + 9 + (26/2) + 17

90 \cdot \frac{π}{180}

4 x + 5 = x + 2

What is sqrt((\sqrt{11)-3)^2+(sqrt(11)+3)^2} ?
The solution to sqrt((\sqrt{11)-3)^2+(sqrt(11)+3)^2} is 2sqrt(10)