What is sqrt(10^2+10^2) ?

The solution to sqrt(10^2+10^2) is 10sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(10^2+10^2)

simplify

1 0^{2} + 1 0^{2}

102

Solution steps

1 0^{2} + 1 0^{2}

1 0^{2} + 1 0^{2} = 200

= 200

Prime factorization of

200 : 2^{3} \cdot 5^{2}

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

Apply exponent rule:

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

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

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

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

= 2^{2} 2 5^{2}

Apply radical rule:

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

2^{2} = 2

= 22 5^{2}

Apply radical rule:

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

5^{2} = 5

= 22 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 102

11 x + 9 - 7

(\frac{3 x ^{5} y ^{0} z ^{8}}{x ^{7} z ^{- 2}})^{4}

\frac{3 ab}{2 a ^{2} x + 2 a ^{3}}

- 12

\frac{330}{180}