Question

square root 2 whole 1/4​

Answer 1

Answer:

3/2

Step-by-step explanation:

1

2------ = 9/4

4

So √9/4 = 3/2

Answer 2

$\displaystyle \sf \sqrt{2 \frac{1}{4} } = \bf \frac{3}{2} = 1 \frac{1}{2}$

Correct question :

$\displaystyle \sf Find \: the \: value \: of \: \: \sqrt{2 \frac{1}{4} }$

Given :

$\displaystyle \sf \sqrt{2 \frac{1}{4} }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf \sqrt{2 \frac{1}{4} }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf \sqrt{2 \frac{1}{4} }$

$\displaystyle \sf = \sqrt{ \frac{9}{4} }$

$\displaystyle \sf = \frac{ \sqrt{9} }{ \sqrt{4} }$

$\displaystyle \sf = \frac{ \sqrt{3 \times 3} }{ \sqrt{2 \times 2} }$

$\displaystyle \sf = \frac{ \sqrt{ {3}^{2} } }{ \sqrt{ {2}^{2} } }$

$\displaystyle \sf = \frac{3}{2}$

$\displaystyle \sf =1 \frac{1}{2}$

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