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Popular >

simplify sqrt(420)

Solution

simplify

420

Solution

2105

+1

Decimal Notation

20.49390 \dots

Solution steps

420

Prime factorization of

420 : 2^{2} \cdot 3 \cdot 5 \cdot 7

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3 \cdot 5 \cdot 7

Multiply the numbers:

3 \cdot 5 \cdot 7 = 105

= 2105

Popular Examples

3 x^{2} + 2 x - 8 \geq 0

simplify (-4x^3)^4 simplify

(- 4 x^{3})^{4}

3 \leq 4 x - 3 < 19

factor 4x^3+7x^2+8x+14 factor

4 x^{3} + 7 x^{2} + 8 x + 14

x^{2} - 2 x - 3 < 0

Frequently Asked Questions (FAQ)

What is sqrt(420) ?
The solution to sqrt(420) is 2sqrt(105)