Rewrite this radicand as two factors one of which is a perfect square

Video Transcript

mr given question we're asking to rewrite this, right and there's two factors Out of which one is a perfect square. Now, let us see the option by option. Suppose if you see option one, it is route four into 15 Where four is Canberra Nash to Square. So it is a perfect square. Okay, but 15 is not a perfect square. Okay. But since we cannot take 15 years But in the question, it is given that one is a perfect square, one of the two is perfect, but since for this, perfect square and 15 is not. So this is the current option. If you check other options. Also, option B Is not a perfect square. five is also not a perfect square. Both are not perfect square. So this is wrong 12 5 years again, where we're losing 60 one of the values is not a perfect square. Similarly, 20 in 23 is also 60 but 20 is not a perfect square. Three is not a perfect square, Since both are not perfect square. This is also not correct option again, 60, can Britain is 10 into six here. Also 10 is not a perfect square and six is also not a perfect square. Both are not perfect. So this is also not correct. So, the only option is option there because uh in four into 15 4 is a perfect square one. Okay, thank you

Given the value:

√60

Rewrite this radicand as two factors, one of which is a perfect square.

Solution:

The radicand can be written as,

= √60

= √(4)(15)

4 is a perfect square number, hence we can take the square root of 4.

= 2√15

Final answer:

= 2√15

Rewrite this radicand as two factors, one of which is a perfect square.. square root of 60 square root of 4 . 15 square root of 12 . 5 square root of 20 . 3 square root of 10 . 6

Question

Gauthmathier6326

Grade 9 · 2022-01-07

YES! We solved the question!

Check the full answer on App Gauthmath

Rewrite this radicand as two factors, one of which is a perfect square.. Rewrite this radicand as two factors, one of which - Gauthmath
\sqrt {4\cdot 15}
\sqrt {12\cdot 5}
\sqrt {20\cdot 3}
\sqrt {10\cdot 6}

Lucila

Answer

Explanation

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Question

Gauthmathier6998

Grade 11 · 2021-11-16

YES! We solved the question!

Check the full answer on App Gauthmath

Rewrite this radicand as two factors, one of which is a perfect square. Rewrite this radicand as two factors, one of which - Gauthmath

Ali

Answer

Explanation

Factor and rewrite the radicand in exponential form: \sqrt{2^{2} \times 15}
Rewrite the expression using \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}: \sqrt{2^{2}} \times \sqrt{15}
Simplify the radical expression: 2 \sqrt{15}
Answer: 2 \sqrt{15}

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