What is sqrt(100^2+100^2) ?

The solution to sqrt(100^2+100^2) is 100sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(100^2+100^2)

simplify

10 0^{2} + 10 0^{2}

1002

Decimal Notation

141.42135 \dots

Solution steps

10 0^{2} + 10 0^{2}

10 0^{2} + 10 0^{2} = 20000

= 20000

Prime factorization of

20000 : 2^{5} \cdot 5^{4}

= 2^{5} \cdot 5^{4}

Apply exponent rule:

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

2^{5} \cdot 5^{4} = 2^{4} \cdot 2 \cdot 5^{4}

= 2^{4} \cdot 2 \cdot 5^{4}

2^{4} \cdot 2 \cdot 5^{4} = 2^{4} 2 5^{4}

= 2^{4} 2 5^{4}

2^{4} = 4

= 42 5^{4}

5^{4} = 25

= 42 \cdot 25

Multiply the numbers:

4 \cdot 25 = 100

= 1002

\frac{3}{8} - \frac{1}{4} \div \frac{6}{7}

5 x^{2} (3 x - 7)

\frac{16}{90}

13 \frac{5}{6} - 10 \frac{2}{3}

- 2 (x - 2)^{2}