Question

simplify √(5.5*0.5*0.5*4.5)​

Answer 1

This is the required solution.

hoping that this may help you.

Answer 2

The answer is 0.75√11

GIVEN

Mathematical expression;

$\sqrt{5.5 \times 0.5 \times 0.5 \times 4.5}$

TO FIND

To simplify the given expression.

SOLUTION

We can simply solve the above problem as follows;

We are given an expression

$\sqrt{5.5 \times 0.5 \times 0.5 \times 4.5}$

Now,

We can write 0.5 × 0.5 as 0.5²

$\sqrt{5.5 \times 0.5^{2} \times 4.5}$

Now,

√(0.5)² = 0.5

Therefore,

$0.5\sqrt{5.5 \times 4.5}$

We can write

$5.5 \times 4.5 = \frac{55 \times 45}{100}$

Therefore,

$0.5 \sqrt{ \frac{55 \times 45}{100} }$

We know that,

√100 = 10

Therefore,

$= \frac{0.5}{10} \sqrt{55 \times 45}$

Factorising 55 ans 45

$= \frac{0.5}{10} \sqrt{5 \times 11 \times 5 \times 3 \times 3}$

$= \frac{0.5 \times 5 \times 3}{10} \sqrt{11}$

$= \frac{75}{100} \sqrt{11}$

= 0.75√11

Hence, The answer is 0.75√11

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