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2 years ago

What is the value of [ 3 × ( 8 − 2 ) ] + 5 [3×(8-2)]+5 ? Enter your answer in the box.

Mathematics

2 answers:

Mariulka [41]2 years ago

3 0

Step-by-step explanation:

it is a wrong aquestion bring a different one

Sonbull [250]2 years ago

3 0

Answer: <u><em>113</em></u>

Step-by-step explanation:∴ [ 3× ( 8 -2 ) ] = 3 × 6 = 18

∴ 5[ 3×(8-2)]+5

= 5[18] +5

= 90+5=95

∴<u><em>18+95= 113</em></u>

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Express 72×12 in the exponential form

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3 years ago

√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q.

frutty [35]

Answer:

The smallest value of p+q is 11

It happens when p = 6 and q = 5.

=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

I'll ignore the trivial factor of 1.

Here are the possible factorizations we could go with:

180 = 4*45

180 = 9*20

180 = 36*5

Those factorizations then lead to the following

$\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\$

Then we have

p+q = 2+45 = 47

p+q = 3+20 = 23

p+q = 6+5 = 11

The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

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