Question

$$\sqrt{\frac{49}{16}\div}\sqrt{\frac{2401}{784}}$$

Answer

sqrt(15060166)/85778

Solution


Simplify  \(\sqrt{4916}\)  to  \(2\sqrt{1229}\).
\[\frac{2\sqrt{1229}}{\sqrt{2401784}}\]
Simplify  \(\sqrt{2401784}\)  to  \(14\sqrt{12254}\).
\[\frac{2\sqrt{1229}}{14\sqrt{12254}}\]
Rationalize the denominator: \(\frac{2\sqrt{1229}}{14\sqrt{12254}} \cdot \frac{\sqrt{12254}}{\sqrt{12254}}=\frac{2\sqrt{1229}\sqrt{12254}}{14\times 12254}\).
\[\frac{2\sqrt{1229}\sqrt{12254}}{14\times 12254}\]
Simplify  \(2\sqrt{1229}\sqrt{12254}\)  to  \(2\sqrt{15060166}\).
\[\frac{2\sqrt{15060166}}{14\times 12254}\]
Simplify  \(14\times 12254\)  to  \(171556\).
\[\frac{2\sqrt{15060166}}{171556}\]
Simplify.
\[\frac{\sqrt{15060166}}{85778}\]

Decimal Form: 0.045242