Question

$\sqrt{90}$
​

Answer 1

$\small \bf \blue { \huge \: hola} \\ \\ \small \bf \blue{hey \: mate \: here \: is \: ur \: ans} \\ \\ \small \bf \blue{given \: that} \\ \\ \small \bf \blue{ \sqrt{90} } \\ \\ \small \bf \blue{as \: we \: can \: write \: } \\ \\ \small \bf \blue{ \sqrt{ 3 \times 3 \times 10}} \\ \\ \small \bf \blue{3 \sqrt{10} } \\ \\ \small \bf \blue{let \: find \: the \: value \: of \: \sqrt{10} } \\ \\ \small \bf \blue{as \: we \: can \: write} \\ \\ \small \bf \blue{ \sqrt{10 } = \sqrt{9 + 1} } \\ \\ \small \bf \pink{ \underline{ \underline{usin \: this \: formula}}} \\ \\ \small \bf \blue{ \sqrt{x \pm \: y} = \sqrt{x} \pm \: \frac{y}{2 \sqrt{x} } } \\ \\ \small \bf \blue{ \sqrt{9 + 1} = \sqrt{9} + \frac{1}{2 \sqrt{9} } } \\ \\ \small \bf \blue{ \sqrt{10} = 3 + \frac{1}{2 \times 3} } \\ \\ \small \bf \blue{ \sqrt{10} = 3 + \frac{1}{6} } \\ \\ \small \bf \blue{ \sqrt{10} = 3 + 0.1666} \\ \\ \small \bf \blue{ \sqrt{10} = 3.1666 } \\ \\ \small \bf \blue{ \sqrt{10} = 3.16 \: \: (near \: around) } \\ \\ \small \bf \blue{according \: to \: calculator} \\ \\ \small \bf \blue{ \sqrt{10} = 3.16} \\ \\ \small \bf \blue{now} \\ \\ \small \bf \blue{3 \times 3.16 = 9.48 \: \: ans}$