What is sqrt(15^2+5^2) ?

The solution to sqrt(15^2+5^2) is 5sqrt(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(15^2+5^2)

simplify

1 5^{2} + 5^{2}

510

Decimal Notation

15.81138 \dots

Solution steps

1 5^{2} + 5^{2}

1 5^{2} + 5^{2} = 250

= 250

Prime factorization of

250 : 2 \cdot 5^{3}

= 2 \cdot 5^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 5 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 510

(1 + 2 x) (x^{2} - 3 x + 1)

e^{\frac{l n ( 8 )}{3}}

- \frac{1}{2} - \frac{1}{2}

(- 3) \cdot (- 2)

- \frac{5}{7} \div \frac{1}{5}