What is simplify sqrt(\sqrt{8100)} ?

The solution to simplify sqrt(\sqrt{8100)} is 3sqrt(10)

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Calculate the Square Root square root of 8100

simplify

8100

310

Solution steps

8100

8100 = 90

= 90

Prime factorization of

90 : 2 \cdot 3^{2} \cdot 5

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

Apply radical rule:

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

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

= 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 310

q, 3 (q - 7) = 27

(x - 3) (x + 9) = - 27

(- 48) (48)

q, 3 + 5 q = 9 + 4 q

x, 2 x = 14

What is simplify sqrt(\sqrt{8100)} ?
The solution to simplify sqrt(\sqrt{8100)} is 3sqrt(10)