Question

if
$\sqrt{23 + x \sqrt{10} } = \sqrt{18} + \sqrt{5}$
find x value ?
​

Answer 1

$\huge{\bold{SOLUTION:-}}$

Given that

$\sqrt{23 + x \sqrt{10} } = \sqrt{18} + \sqrt{5}$

Squaring on both sides

$23 + x \sqrt{10} = 18 + 5 + 2 \sqrt{18} \times \sqrt{5}$

$23 + x \sqrt{10} = 23 + 2 \sqrt{90}$

$23 + x \sqrt{10} = 23 + 6 \sqrt{10}$

On equating on both sides , the final solution is

$x = 6$

MORE-INFO :-

• A surd is a form of irrational number

• Surds can't be changed into whole numbers by simplification

• Surds can be simplified if they have common multiples

• Surds can also be simplified if they are similar surds

• Sum of two surds must not be an irrational number

• Product of two surds must not be irrational numbers

Answer 2

$\huge{\mathfrak\color{blue}{HEY\:FRIEND}}$

$\color{brown}{HERE\:IS\:YR\:ANS}$

$\underline\color{Green}{ VALUE\:OF\:X}$

IN THE GIVEN ATTACHMENT

IT IS SO SIMPLE TO SOLVE

$\fbox{HOPE\:IT\:HELPS}$

$\huge{\mathfrak{THANKS}}$

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