What is sqrt(14+2\sqrt{13)} ?

The solution to sqrt(14+2\sqrt{13)} is sqrt(13)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(14+2\sqrt{13)}

simplify

14 + 213

13 + 1

Decimal Notation

4.60555 \dots

Solution steps

14 + 213

= 13 + 213 + 1

= (13)^{2} + 213 + (1)^{2}

1 = 1

= (13)^{2} + 213 + 1^{2}

213 \cdot 1 = 213

= (13)^{2} + 213 \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(13)^{2} + 213 \cdot 1 + 1^{2} = (13 + 1)^{2}

= (13 + 1)^{2}

Apply radical rule:

(13 + 1)^{2} = 13 + 1

= 13 + 1

- 26 - 24

1 - 6 n = 4 + 1 - 7 n - 8

7 a^{2} b + 10 a^{2} b^{2} + 14 a^{2} b^{3}

\frac{7 + 4 i}{2 - 3 i}

3 x^{2} - 10 = 0