What is sqrt(25-\sqrt{49)} ?

The solution to sqrt(25-\sqrt{49)} is 3sqrt(2)

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simplify sqrt(25-\sqrt{49)}

simplify

25 - 49

32

Decimal Notation

4.24264 \dots

Solution steps

25 - 49

25 - 49 = 18

= 18

Prime factorization of

18 : 2 \cdot 3^{2}

= 2 \cdot 3^{2}

Apply radical rule:

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

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

= 2 3^{2}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3

= 32

6^{2} + (63)^{2}

(x + y) (3 a + 6 t)

x^{3} (2 - x) + 5 x (2 - x)

- 2 z (7 - 3 z)

3 (5 x^{3} + 2 x^{2} - 5) - (x^{2} - 5)