What is sqrt(7+2\sqrt{6)} ?

The solution to sqrt(7+2\sqrt{6)} is sqrt(6)+1

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simplify sqrt(7+2\sqrt{6)}

simplify

7 + 26

6 + 1

Solution steps

7 + 26

= 6 + 26 + 1

= (6)^{2} + 26 + (1)^{2}

1 = 1

= (6)^{2} + 26 + 1^{2}

26 \cdot 1 = 26

= (6)^{2} + 26 \cdot 1 + 1^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(6)^{2} + 26 \cdot 1 + 1^{2} = (6 + 1)^{2}

= (6 + 1)^{2}

Apply radical rule:

(6 + 1)^{2} = 6 + 1

= 6 + 1

1 \frac{2}{5} \cdot 2 \frac{5}{7}

2 x^{2} \cdot 12 x

8 a b^{2} + 2 b 18 a

\frac{38}{24}

- 0.9 (7 v + 7) + 0.3 (v + 10)