Упростите выражения:
1) 2√а + 6√а - 7√а
2)2√а + 3√b + 3√a
3)√9a + √25a- √36a
4)√32+√18-√50
5)3√12b+0.5√108k-2√48b+0.01√300k
Упростите выражения:
1.(√3+√x)(√3-√x)
2.(√x+√3)^2
3.(2√3-3√2)^2
4.(5√3-√11)(√11+5√3)
5.(√2a+b)(2a-b√2a+b^2)
1) 2√а + 6√а - 7√а
2)2√а + 3√b + 3√a
3)√9a + √25a- √36a
4)√32+√18-√50
5)3√12b+0.5√108k-2√48b+0.01√300k
Упростите выражения:
1.(√3+√x)(√3-√x)
2.(√x+√3)^2
3.(2√3-3√2)^2
4.(5√3-√11)(√11+5√3)
5.(√2a+b)(2a-b√2a+b^2)
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Verified answer
1) 2√a + 6√a - 7√a = (2 + 6 - 7)√a = 1 * √a = √a2) 2√a + 3√b + 3√a = (2 + 3)√a + 3√b = 5√a + 3√b
3) √(9a) + √(25a) - √(36a) = 3√a + 5√a - 6√a = (3 + 5 - 6)√a = 2√a
4) √32 + √18 - √50 = √(16*2)+√(9*2) -√(25*2) = 4√2 + 3√2 - 5√2 = 2√2
5) 3√(12b) + 0.5√(108k) - 2√(48b) + 0.01√(300k) =
= 3√(4*3b) + 0,5√(36*3k) - 2√(16*3b) + 0,01√(100*3k) =
= 6√(3b) + 3√(3k) - 8√(3b) + 0,1√(3k) = 3,1√(3k) - 2√(3b)
1. (√3 + √x)(√3 - √x) = (√3)² - (√x)² = 3 - x
2. (√x + √3)² = (√x)² + 2√x *√3 + (√3)² = x + 3 + 2√(3x)
3. (2√3 - 3√2)² = 4*3 - 12√6 + 9*2 = 30 - 12√6
4. (5√3 - √11)(5√3 + √11) = (5√3)² - (√11)² = 25*3 - 11 = 64
5. (√(2a) + b)(2a - b√(2a) + b²) = (√(2a))³ + b³