Question

By which smallest number 148 must be multiplied so as to make it a perfect
square?​

Answer 1

$\sf{ \red{ \underline{ \underline{correct \: question \ \: : }}}}$

By which smallest number 148 must be multiplied so as to make it a perfect square?

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a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself.

For example:

9 is a square number, since it can be written as

3 × 3

$\sf{ \red{ \underline{ \underline{let \: us \: solve\ \: : }}}}$

$\sf2\sqrt{148} = 2\sqrt{2 \times 2 \times 37}$

$\sf{2 \sqrt{148} = ({2 \sqrt{37} )}^{2} }$

$\sf{ \red{ \underline{ \underline{to \: make \: this \: as \: a \: perfect \: square }}}}$

$\sf{ {we \: need \: to \: multiply \: 37 \: to \: it }}$

$\sf{ \red{ \underline{ \underline{let \: u s \: multiply \ \: : }}}}$

$\sf2 \sqrt{148 \times37} = 2 \sqrt{2 \times 2 \times 37} \times 37$

$\sf2 \sqrt{5476} = 2 \sqrt{2 \times 2 \times 37} \times 37$

$\sf= {74} = 2 \times 37$

$\sf{74} = 74$

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$\sf \underline{74 \times 74 }$

$\sf= {74}^{2}$

$\bold \red{ = 5417}$