Question

Очень надо пожалуста!!!!1) ⁵√√1024=2) ⁴√α=3) ⁴√25⁶=4) ³√348·8=5) ³√8/24=6) ³√4·17/27=7) ⁸√16⁵= СПАСИБО)

Answer 1

1. Найти значение выражения : 
1) корень из 16•36=√16*√36=4*6=24 
2) корень из 2500=√25*100= √ 25*√ 100=5*10=50 
3) корень из 25/64= √ 25/√ 64=5/8 
4) корень из 0,0081 =√ 0.0001*√ 81=0.01*9=0.09 
5) корень из 3 целых 1/16=√ (3*16+1)/16= √ 49/16=√ 49/√ 16=7/4=1ц3/4 
6) корень из (-21)^2 =|-21|=21 
7)корень из 3^6 =√ 3²'³=√ (3³)²=|3³|=3³=27 
8) корень из 2^4•7^2 =√ 2²'²*√ 7²=√ (2²)²*|7|=|2²|*7=4*7=28 
2.Вынести множитель за знак корня : 
1) корень из 49а^6= √ 49*√ (а³)²=7*|а³| 
2) корень из 3х^2 / 16=√ 3* √ х²/√ 16=|х|*√ 3/4 
3. Внести множитель под знак корня и сравните : 
3 корень из 5 и 4 корень из 3 
√ 9*√ 5 и √ 16*√ 3 
√ 9*5 и √ 16*3 
√ 45 и √ 48 
т.к. 45<48, следовательно 
√ 45 < √ 48 
3 корень из 5 < 4 корень из 3 
4. Упростите выражение : 
1) 2 корень из 3 + корень из 48 - 2 корень из 12=2√3+√16*3-2√3*4= 
=2√3+√ 16*√3-2*√3*√4=2√3+4√3-2*2*√3=2√3+4√3-4√3=2√3 
2) ( корень из 3 -3) ( корень из 3 + 3) =(√3²-3²)=3-9=-6 
3) ( корень из 6 + 5)^2=√6²+2(√6)*5 +5²=6+10√6+25=31+10√6 
4) ( корень из 7-корень из 2)^2 =√7²-2*(√7)*√2+√2²=7-2√7*2+2=9-2√14 
5. Разложить на множители : 
а^2-5=а²-(√5)²=(а-√5)(а+√5) 
Удачи! 

Answer 2

1) To find the fifth root of the square root of 1024, we can break it down step by step. First, let's find the square root of 1024, which is 32. Then, we can find the fifth root of 32, which is 2. Therefore, the answer is 2.

2) To find the fourth root of α, we need more information about the value of α. Without knowing the specific value of α, we cannot provide a numerical answer. However, we can still express the fourth root of α as α^(1/4).

3) To find the fourth root of 25^6, we can break it down step by step. First, let's calculate 25^6, which is 244,140,625. Then, we can find the fourth root of 244,140,625, which is 3,125. Therefore, the answer is 3,125.

4) To find the cube root of 348 * 8, we can multiply 348 and 8 first, which gives us 2,784. Then, we can find the cube root of 2,784, which is 14. Therefore, the answer is 14.

5) To find the cube root of 8/24, we can simplify the fraction first. 8/24 can be reduced to 1/3. Then, we can find the cube root of 1/3, which is approximately 0.693. Therefore, the answer is approximately 0.693.

6) To find the cube root of 4 * 17/27, we can multiply 4 and 17 first, which gives us 68. Then, we can divide 68 by 27, which gives us approximately 2.519. Finally, we can find the cube root of 2.519, which is approximately 1.346. Therefore, the answer is approximately 1.346.

7) To find the eighth root of 16^5, we can calculate 16^5, which is 1,048,576. Then, we can find the eighth root of 1,048,576, which is 16. Therefore, the answer is 16.

I hope this helps! Let me know if you have any further questions.