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Popular >

simplify sqrt(875)

Solution

simplify

875

Solution

535

+1

Decimal Notation

29.58039 \dots

Solution steps

875

Prime factorization of

875 : 5^{3} \cdot 7

= 5^{3} \cdot 7

Apply exponent rule:

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

5^{3} \cdot 7 = 5^{2} \cdot 5 \cdot 7

= 5^{2} \cdot 5 \cdot 7

Apply radical rule:

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

5^{2} \cdot 5 \cdot 7 = 5^{2} 5 \cdot 7

= 5^{2} 5 \cdot 7

Apply radical rule:

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

5^{2} = 5

= 5 5 \cdot 7

Multiply the numbers:

5 \cdot 7 = 35

= 535

Popular Examples

2 x + 12 = 2 (x + 6)

x + 9 = 2

(6x+1)/5 =-10+(2x+1)/3

\frac{6 x + 1}{5} = - 10 + \frac{2 x + 1}{3}

5 x^{2} - 3 x + 4 = 0

60 w + 5 = 125

Frequently Asked Questions (FAQ)

What is sqrt(875) ?
The solution to sqrt(875) is 5sqrt(35)