en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(10125)

Solution

simplify

10125

Solution

455

+1

Decimal Notation

100.62305 \dots

Solution steps

10125

Prime factorization of

10125 : 3^{4} \cdot 5^{3}

= 3^{4} \cdot 5^{3}

Apply exponent rule:

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

3^{4} \cdot 5^{3} = 3^{4} \cdot 5^{2} \cdot 5

= 3^{4} \cdot 5^{2} \cdot 5

3^{4} \cdot 5^{2} \cdot 5 = 3^{4} 5^{2} 5

= 3^{4} 5^{2} 5

3^{4} = 9

= 9 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 9 \cdot 55

Multiply the numbers:

9 \cdot 5 = 45

= 455

Popular Examples

c^{2} \leq 4

2 x + 1 = 5

simplify (7i)/(2+2i)simplify

\frac{7 i}{2 + 2 i}

factor 12x^5-8x^{12}-32x^3 factor

12 x^{5} - 8 x^{12} - 32 x^{3}

1/3*(2x+3/4)= 1/4 x-1

\frac{1}{3} \cdot (2 x + \frac{3}{4}) = \frac{1}{4} x - 1

Frequently Asked Questions (FAQ)

What is sqrt(10125) ?
The solution to sqrt(10125) is 45sqrt(5)