What is sqrt(7)sqrt((w/(\sqrt{7)))^2-1} ?

The solution to sqrt(7)sqrt((w/(\sqrt{7)))^2-1} is sqrt(w^2-7)

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simplify sqrt(7)sqrt((w/(\sqrt{7)))^2-1}

simplify

7 (\frac{w}{7})^{2} - 1

w^{2} - 7

Solution steps

7 (\frac{w}{7})^{2} - 1

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

7 (\frac{w}{7})^{2} - 1 = 7 ((\frac{w}{7})^{2} - 1)

= 7 ((\frac{w}{7})^{2} - 1)

Simplify

7 ((\frac{w}{7})^{2} - 1) : w^{2} - 7

= w^{2} - 7

(1.6 \cdot 1 0^{- 19}) \cdot 4

6300 (1 + 0.05 \cdot 3)^{- 1}

10000 (1 + 0.08)^{- 10}

(21.4 \cdot 1 0^{- 3}) \cdot 560

(x - \frac{4}{9})^{3}

What is sqrt(7)sqrt((w/(\sqrt{7)))^2-1} ?
The solution to sqrt(7)sqrt((w/(\sqrt{7)))^2-1} is sqrt(w^2-7)