What is sqrt(4\times 5) ?

The solution to sqrt(4\times 5) is 2sqrt(5)

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simplify sqrt(4\times 5)

simplify

4 \cdot 5

25

Decimal Notation

4.47213 \dots

Solution steps

4 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 20

Prime factorization of

20 : 2^{2} \cdot 5

= 2^{2} \cdot 5

Apply radical rule:

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

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

= 2^{2} 5

Apply radical rule:

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

2^{2} = 2

= 25

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

\frac{3 i}{4 - 3 i}

80 \times 5

i 3 \cdot i 3