en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(3375)

Solution

simplify

3375

Solution

1515

+1

Decimal Notation

58.09475 \dots

Solution steps

3375

Prime factorization of

3375 : 3^{3} \cdot 5^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

3^{2} = 3

= 3 5^{2} 3 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 3 \cdot 5 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 1515

Popular Examples

factor-x^2-6 factor

- x^{2} - 6

simplify 15/3-6/3 simplify

\frac{15}{3} - \frac{6}{3}

simplify (x+2)^2-9 simplify

(x + 2)^{2} - 9

expand (x-9)(x+7)expand

(x - 9) (x + 7)

simplify 10^{log_{10}(36)}simplify

1 0^{l o g_{10} (36)}

Frequently Asked Questions (FAQ)

What is sqrt(3375) ?
The solution to sqrt(3375) is 15sqrt(15)